Question

1. Find the mean of the following probability distribution? x ----P(x) 0-----0.3215 1-----0.2173 2------0.1735 3-------0.1854 4-------0.1023 Mean = 2. Mrs. Walker filled out a bracket for the NCAA National Tournament. Based on her knowledge of college basketball, she has a 0.53 probability of guessing any one game correctly. What is the probability Mrs. Walker will pick all 32 of the first round games correctly? What is the probability Mrs. Walker will pick exactly 10 games correctly in the first round? What is the probability Mrs. Walker will pick exactly 20 games incorrectly in the first round? 3. After being rejected for employment, Kim Kelly learns that the Bellevue Credit Company has hired only five women among the last 19 new employees. She also learns that the pool of applicants is very large, with an approximately equal number of qualified men as qualified women. Help her address the charge of gender discrimination by finding the probability of getting five or fewer women when 19 people are hired, assuming that there is no discrimination based on gender. (Report answer accurate to 8 decimal places). P(at most five) =

          1. 
Find the mean of the following probability distribution?
x ----P(x)
0-----0.3215
1-----0.2173
2------0.1735
3-------0.1854
4-------0.1023
Mean = 
2. 
Mrs. Walker filled out a bracket for the NCAA National
Tournament. Based on her knowledge of college basketball, she has a
0.53 probability of guessing any one game correctly.
What is the probability Mrs. Walker will pick all 32 of the
first round games correctly?
What is the probability Mrs. Walker will pick exactly 10 games
correctly in the first round? 
What is the probability Mrs. Walker will pick exactly 20 games
incorrectly in the first round?
3. 
After being rejected for employment, Kim Kelly learns that the
Bellevue Credit Company has hired only five women among the last 19
new employees. She also learns that the pool of applicants is very
large, with an approximately equal number of qualified men as
qualified women.
Help her address the charge of gender discrimination by finding
the probability of getting five or fewer women when 19 people are
 hired, assuming that there is no discrimination based on
gender. 
(Report answer accurate to 8 decimal places). 
P(at most five) =

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Added by Daniel A.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

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Solved by Expert Sri K

06/20/2022

Step 1

Walker picking all 32 first round games correctly. Given that the probability of guessing any one game correctly is 0.53, the probability of picking all 32 games correctly can be calculated as: \[ P(\text{all 32 games correct}) = 0.53^{32} \] Show more…

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1. Find the mean of the following probability distribution? x ----P(x) 0-----0.3215 1-----0.2173 2------0.1735 3-------0.1854 4-------0.1023 Mean = 2. Mrs. Walker filled out a bracket for the NCAA National Tournament. Based on her knowledge of college basketball, she has a 0.53 probability of guessing any one game correctly. What is the probability Mrs. Walker will pick all 32 of the first round games correctly? What is the probability Mrs. Walker will pick exactly 10 games correctly in the first round? What is the probability Mrs. Walker will pick exactly 20 games incorrectly in the first round? 3. After being rejected for employment, Kim Kelly learns that the Bellevue Credit Company has hired only five women among the last 19 new employees. She also learns that the pool of applicants is very large, with an approximately equal number of qualified men as qualified women. Help her address the charge of gender discrimination by finding the probability of getting five or fewer women when 19 people are hired, assuming that there is no discrimination based on gender. (Report answer accurate to 8 decimal places). P(at most five) =

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Transcript

00:01 Hello students, welcome.

00:02 We have a question here and in this question it is given that 12 % of americans, americans fill out n -c -a -a -march -windness and suppose 10 people are selective random.

00:23 So our sample size will be here.

00:25 N will be equal to 10 and here probability for given is 0 .12.

00:31 So let's solve the binomial for this given question.

00:35 So here we will take x is similar to the binomial where we will take n as equal to 10 and p will be equal to 0 .1.

00:50 2.

00:51 So for part a we have to find the probability when x is equal to 1.

00:58 So this will be as 10 c1 multiplied by the probability which is equal to 1.

01:07 Is 0 .12 multiplied by 1 minus p, that is 1 minus 0 .12 to the power of 10 minus 1.

01:19 1 and here we will have that point.

01:21 So when we calculate this as for the binomial expression, we will have 0 .3798.

01:28 The will.

01:29 Binroming expression ncr, give you a small hint of it.

01:34 Factorial and divided by factorial, n.

01:37 N minus r factorial this is the moment so from here there if we solve 10 c1 this will be as factorial 10 divided by factorial 10 minus 1 factorial 1 so here we will take 10 and then factorial 9 here we will have factorial 9 and factorial 1 is 1 factorial 9 will be considered the value for this term will be equal so this is the method by which we did solve the problem.

02:14 So here we have a post answer for the probability of the event where px is equal to 1 is given now 0 .3798.

02:26 So let's move on to the second equation.

02:28 Here into the part b we have to find the probability for the event when x is a theory so this is the equal called 1 minus p x is less than 1.

02:45 So simply we have to put the value here 1 minus p x is equal to c this will be as 1 minus this will be as 1 minus as c at n c r s 10 c is 0 multiplied by 0 .12 to the power of 0 multiplied by 1 minus 0 .1 2, 10 minus 0 .0.

03:18 So here, you know that exponential notification, a to the power of 0 will be equal to 1...

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