Question

Thirty-five percent of US adults have little confidence in their cars. You randomly select ten US adults. Find the probability that the number of US adults who have little confidence in their cars is (1) exactly six and then find the probability that it is (2) more than 7. (1) 0.021 (2) 0.005 Question 2: Say a business found that 29.5% of customers in Washington prefer grey suits. The company chooses 8 customers in Washington and asks them if they prefer grey suits. What assumption must be made for this study to follow the probabilities of a binomial experiment? That the probability of being a selected customer is the same for all 8 people Question 3: Seven baseballs are randomly selected from the production line to see if their stitching is straight. Over time, the company has found that 89.4% of all their baseballs have straight stitching. If exactly five of the seven have straight stitching, should the company stop the production line? No, the probability of five or less having straight stitching is not unusual Question 4: A beer company puts 15 ounces of beer in each can. The company has determined that 95.5% of cans have the correct amount. Which of the following describes a binomial experiment that would determine the probability that a case of 16 cans has all cans that are properly filled? n=16, p=0.955, x=16 Question 5: A supplier must create metal rods that are 18.1 inches long to fit into the next step of production. Can a binomial experiment be used to determine the probability that the rods are correct length or an incorrect length? No, as there are three possible outcomes, rather than two possible outcomes Question 6: In a box of 12 pens, there is one that does not work. Employees take pens as needed. The pens are returned once employees are done with them. You are the 5th employee to take a pen. Is this a binomial experiment? No, binomial does not include systematic selection such as "fifth" Question 7: Forty-two percent of employees make judgments about their co-workers based on the cleanliness of their desk. You randomly select 7 employees and ask them if they judge co-workers based on this criterion. The random variable is the number of employees who judge their co-workers by cleanliness. Which outcomes of this binomial distribution would be considered unusual? 0, 1, 7 Question 8: Sixty-eight percent of products come off the line within product specifications. Your quality control department selects 15 products randomly from the line each hour. Looking at the binomial distribution, if fewer than how many are within specifications would require that the production line be shut down (unusual) and repaired? Fewer than 9 Question 9: The probability of a potential employee passing a drug test is 86%. If you selected 15 potential employees and gave them a drug test, how many would you expect to pass the test? 13 employees Question 10: The probability of a potential employee passing a training course is 86%. If you selected 15 potential employees and gave them the training course, what is the probability that more than 12 will pass the test? 0.352 Question 11: Off the production line, there is a 3.7% chance that a candle is defective. If the company selected 45 candles off the line, what is the probability that fewer than 3 would be defective? 0.037

Name: question 1 thirty five percent of us adults have little confidence in their cars you randomly select ten us adults find the probability that the number of us adults who have little confidenc 11329
Uploaded: 2022-09-03T21:29:54-08:00
Duration: 12 min 35 s
Channel: Frank Deng
Description: question 1 thirty five percent of us adults have little confidence in their cars you randomly select ten us adults find the probability that the number of us adults who have little confidenc 11329

(1) 0.021 (2) 0.005

Question 2:
Say a business found that 29.5% of customers in Washington prefer grey suits. The company chooses 8 customers in Washington and asks them if they prefer grey suits. What assumption must be made for this study to follow the probabilities of a binomial experiment?

That the probability of being a selected customer is the same for all 8 people

Question 3:
Seven baseballs are randomly selected from the production line to see if their stitching is straight. Over time, the company has found that 89.4% of all their baseballs have straight stitching. If exactly five of the seven have straight stitching, should the company stop the production line?

No, the probability of five or less having straight stitching is not unusual

Question 4:
A beer company puts 15 ounces of beer in each can. The company has determined that 95.5% of cans have the correct amount. Which of the following describes a binomial experiment that would determine the probability that a case of 16 cans has all cans that are properly filled?

n=16, p=0.955, x=16

Question 5:
A supplier must create metal rods that are 18.1 inches long to fit into the next step of production. Can a binomial experiment be used to determine the probability that the rods are correct length or an incorrect length?

No, as there are three possible outcomes, rather than two possible outcomes

Question 6:
In a box of 12 pens, there is one that does not work. Employees take pens as needed. The pens are returned once employees are done with them. You are the 5th employee to take a pen. Is this a binomial experiment?

No, binomial does not include systematic selection such as "fifth"

Question 7:
Forty-two percent of employees make judgments about their co-workers based on the cleanliness of their desk. You randomly select 7 employees and ask them if they judge co-workers based on this criterion. The random variable is the number of employees who judge their co-workers by cleanliness. Which outcomes of this binomial distribution would be considered unusual?

0, 1, 7

Question 8:
Sixty-eight percent of products come off the line within product specifications. Your quality control department selects 15 products randomly from the line each hour. Looking at the binomial distribution, if fewer than how many are within specifications would require that the production line be shut down (unusual) and repaired?

Fewer than 9

Question 9:
The probability of a potential employee passing a drug test is 86%. If you selected 15 potential employees and gave them a drug test, how many would you expect to pass the test?

13 employees

Question 10:
The probability of a potential employee passing a training course is 86%. If you selected 15 potential employees and gave them the training course, what is the probability that more than 12 will pass the test?

0.352

Question 11:
Off the production line, there is a 3.7% chance that a candle is defective. If the company selected 45 candles off the line, what is the probability that fewer than 3 would be defective?

0.037

Added by Brian G.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Frank Deng

09/03/2022

Step 1

The probability of an adult having little confidence in their car is 35%, so the probability of an adult not having little confidence is 65%. Using the binomial probability formula, we can calculate this as follows: \[ P(X = 6) = \binom{10}{6} \times (0.35)^6 Show more…

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Thirty-five percent of US adults have little confidence in their cars. You randomly select ten US adults. Find the probability that the number of US adults who have little confidence in their cars is (1) exactly six and then find the probability that it is (2) more than 7. (1) 0.021 (2) 0.005 Question 2: Say a business found that 29.5% of customers in Washington prefer grey suits. The company chooses 8 customers in Washington and asks them if they prefer grey suits. What assumption must be made for this study to follow the probabilities of a binomial experiment? That the probability of being a selected customer is the same for all 8 people Question 3: Seven baseballs are randomly selected from the production line to see if their stitching is straight. Over time, the company has found that 89.4% of all their baseballs have straight stitching. If exactly five of the seven have straight stitching, should the company stop the production line? No, the probability of five or less having straight stitching is not unusual Question 4: A beer company puts 15 ounces of beer in each can. The company has determined that 95.5% of cans have the correct amount. Which of the following describes a binomial experiment that would determine the probability that a case of 16 cans has all cans that are properly filled? n=16, p=0.955, x=16 Question 5: A supplier must create metal rods that are 18.1 inches long to fit into the next step of production. Can a binomial experiment be used to determine the probability that the rods are correct length or an incorrect length? No, as there are three possible outcomes, rather than two possible outcomes Question 6: In a box of 12 pens, there is one that does not work. Employees take pens as needed. The pens are returned once employees are done with them. You are the 5th employee to take a pen. Is this a binomial experiment? No, binomial does not include systematic selection such as "fifth" Question 7: Forty-two percent of employees make judgments about their co-workers based on the cleanliness of their desk. You randomly select 7 employees and ask them if they judge co-workers based on this criterion. The random variable is the number of employees who judge their co-workers by cleanliness. Which outcomes of this binomial distribution would be considered unusual? 0, 1, 7 Question 8: Sixty-eight percent of products come off the line within product specifications. Your quality control department selects 15 products randomly from the line each hour. Looking at the binomial distribution, if fewer than how many are within specifications would require that the production line be shut down (unusual) and repaired? Fewer than 9 Question 9: The probability of a potential employee passing a drug test is 86%. If you selected 15 potential employees and gave them a drug test, how many would you expect to pass the test? 13 employees Question 10: The probability of a potential employee passing a training course is 86%. If you selected 15 potential employees and gave them the training course, what is the probability that more than 12 will pass the test? 0.352 Question 11: Off the production line, there is a 3.7% chance that a candle is defective. If the company selected 45 candles off the line, what is the probability that fewer than 3 would be defective? 0.037

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Transcript

00:01 Now in this question, we look at a few little questions.

00:02 The first one says 35 % of us adults have later confided in the cost, right? now imagine you chose 10 adults and you're also going to find the number of adults who have later confided in the cost.

00:15 For example, it's exact six or then more than seven, right? so that, of course, the binomial distribution right? so the first leader question says exact six was probability.

00:27 And what course that will be given by 0 .5? 0 .35 to the power of 6 and times 1 minus 0 .635, that 0 .65 to the power of 4, right? and then times the number of ways you take 6 out of 10, right? so that's the power of, that's the factor of 10 divide by the factor of 4 and the factor of 6 multiple than factor of 4.

00:51 So if you do the calculation, you'll find you will find this to be actually given by to the power of 6.

00:59 And and then times 0 .6 to the part of 4.

01:05 And you have to also times the factor of pain divided by the factor of 6 times the factor of 4.

01:15 And you found the answer to be actually given by 0 .068.

01:21 So that's about 6.

01:23 So i found 0 .0, actually 0 .069.

01:27 So so i, so i, that's the probability you have exactly six who have later confidence in the cars, right? so you look at the number of choices giving the question, and clearly you can only have the first or the third one, right? because only these two options have, you know, giving the correct probability for this, right? but the difference is that in the first case, it gives 0 .974 for the number, for the probability more than seven, well, have later confidence in the car, and that's obviously to be, right, because the property should be much less than that.

02:04 And actually, you can see that the correct answer should be the third statement.

02:08 So the correct answer is 0 .069 and 0 .005, right? so that would be the correct answer.

02:16 So that's for one, and this is for two, right? and the second question, so business found that 29%, 29 .5 % of customers prefer grades, right? a company chooses eight customs in washington and asks them even the preferred ratios.

02:37 So what assumption must be made for this is that a lot of probability with a normal experiment? so you're giving a few choices.

02:43 Right first says that the probability of being selected customer is the same for all eight people.

02:48 And b said that those selected have similar characteristic to those in the original study.

02:55 And serb says that there is 29 .3 probability of being selected customer, that the probability of preferring great use the same as preferring shoots of other colors.

03:07 And obviously that i think the correct answer, of course, is that they selected have similar characteristics.

03:14 So this is very important because you want to use the binomial distribution.

03:17 That means you have to assume that all of these customers they have similar characteristics, because otherwise the binomial distribution, of course, won't work.

03:24 So the correct answer is that they selected have similar characteristics.

03:29 And then the third class, seven ball, seven best balls are randomly selected from production line to see if they're stitching straight.

03:38 Every time the company has found that 89 .4 % of those best balls have straight stitch them.

03:44 Now, exactly five, um, if exactly five of the seven have straight stitching, should the company stop the production line.

03:57 So, so to, uh, to, to, to answer this question, of course, what we need to find is the probability.

04:06 Now, what is the probability you have 5 out of 7 that you found having this stress teaching? the probability, of course, is given by a quantum dispute that's given by 8 .9 .4 % to the power of 5, right? and multiplied by the 1 minus 89 .4, that's 10 .6 % and to the power of 2, right? and multiply the probability you have, you take 5 out of 7, that's a factor of 7 divided by factor of and factor of two and factor of five, right? so and you do the calculation, this will give you actually 0 .94 to the part of five and times 0 .10 or 6 to the power of 2 and then times 7 factor divided by 5 factor and times 2.

05:07 And then you'll find out.

05:08 Answer to be actually given by 13 .5%.

05:20 So that's probability.

05:21 And this is actually says to probability, right? so the answer is that no, the probability of this is 05 has straight, station is not unusual, right? so the correct answer is that the no, the answer is no.

05:34 The probability of exact five have straight stitching is not unusual because the property actually is larger than 5%.

05:42 And the last, the next question, you have a beer company puts 15 ounces of beer each can.

05:50 The company has determined that 95 .5 % of these cans have the correct monitor, which of the foreign described by now explain that would determine the probability that a case of 16 cancers or the cans that are properly feared, right? so clearly, the correct choice is that you have 16, right? so n equals 16, right? and then you have a p, right, which is according to the question, 0 .95, right? and, of course, i want to say random number x, while the random number x has all kinds, so x is also 16, right? so that's the correct choice.

06:30 And then the next question is a supplier must create metal rods that are 18 .1 inches known to fit into the next step for production, can a binomics can be used to determine the probability that are rods, a correct lens or incorrect? no, because the, you know, the lens can take more than two values, right? so the answer is now, right? you can't.

06:57 There are three possible outcomes rather than two possible outcomes...

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