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Tatenda Takavadini

Tatenda T.

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INSTANT ANSWER

Saved Help Sove \( 8 \varepsilon \) sold together, they form a "system." How many different systems can the electronic firm offer? Multiple Choice 36 72 144 18

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Upon completing this module, you should be able to 1. Describe and apply the basic rules of probability (i.e., the general and special rules of addition, the general and special rules of multiplication) 2. Describe the characteristics of a binomial probability distribution 3. Demonstrate the ability to calculate or determine the probability of an outcome of a binomial situation using each of the following (where appropriate): a) the binomial probability formula and b) the binomial probability table 4. Describe the characteristics and compute the probabilities using the hypergeometric probability distribution 5. Describe appropriate conditions for use of the Poisson probability distribution and compute probabilities using this distribution 6. Describe and apply the relationship between the mean and the standard deviation of a normally distributed frequency distribution 7. Describe and apply the relationship between basic probability and a normally distributed frequency distribution, using the tables of areas under the normal curve 8. Apply the normal distribution procedures in determining the probability of certain outcomes under the above circumstances 2. Tips for success You'll write an exam at the end of this module. Please review Booking Exams now. Plan ahead to meet this requirement of this course.

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Hoan Nguyen verified

Numerade educator

Question 1 [4 points] Southwest Consulting is a well established company with thousands of employees and they want to estimate the average age of their workers. A sample of 49 employees was taken. Assuming the population has a standard deviation of 5.7, we want to find a 99% confidence interval for the population mean. If the mean of the sample is 29.6, what is the confidence interval estimate? For full marks your answer should be accurate to at least two decimal places. Confidence Interval: ( 0 , 0 ) Question 2 [10 points] A doctor at a walk-in clinic is studying high blood pressure among patients of the ages twenty to forty. According to the American Heart Association, a person has high blood pressure if their Systolic and Diastolic readings are above 139 and 89 respectively. A random sample of 10 patients revealed the following blood pressures, where the readings (x,y) correspond to (Systolic,Diastolic) blood pressures. (120,84) (159,90) (129,84) (130,89) (180,110) (130,85) (180,120) (180,110) (190,110) (190,110) Assume that the population distribution is normal. For full marks your answer should be accurate to at least two decimal places.

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Robin Corrigan verified

Numerade educator

Question 1 [6 points] Softouch Co. tracks their daily profits and has found that the distribution of profits is approximately normal with a mean of $18,800.00 and a standard deviation of about $800.00. Using this information, answer the following questions. For full marks your answer should be accurate to at least three decimal places. Compute the probability that tomorrow's profit will be a) between $18,568.00 and $18,720.00 b) less than $18,384.00 or greater than $18,720.00 c) less than $18,120.00 or greater than $20,592.00

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William Fairburn verified

Numerade educator

egin{tabular}{|c|c|} hline multicolumn{2}{|c|}{egin{tabular}{c} Discrete \ Probability \ Distribution end{tabular}} \ hline ( oldsymbol{x} ) & ( oldsymbol{P}(oldsymbol{x}) ) \ hline 13.00 & 0.45 \ hline 21.00 & 0.15 \ hline 29.00 & 0.18 \ hline 37.00 & 0.08 \ hline 45.00 & 0.06 \ hline 53.00 & 0.08 \ hline hline end{tabular} a) Find the expected value of random variable ( X ). For full marks your answer should be accurate to at least two decimal places. Expected Value: 0 b) Find the variance of this discrete probability distribution. For full marks your answer should be accurate to at least two decimal places. Variance: 0 c) Find the standard deviation of this discrete probability distribution. For full marks your answer should be accurate to at least two decimal places.

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Breanna Ollech verified

Numerade educator

population consists of 45 items, 35 of which are defective. In a sample of 4 items, what is the probability that exactly 3 are defective? For full marks your answer should be accurate to at least four decimal places. P(X=3) = 0 Question 5 [6 points] Police records show that there has been an average of 3 accidents per week on a new freeway. Calculate the probabilities if these accidents follow a Poisson p For full marks your answer should be accurate to at least four decimal places. a)Exactly 3 accidents in 2 weeks? P(x) = 0 b)More than 3 accidents in 3 weeks? P(x) = 0 c)Either 4 or 5 accidents in 2 weeks? P(x) = 0

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Hoan Nguyen verified

Numerade educator

Question 3 [10 points] At the local library about 80% of the people actually end up borrowing books. Everyday there are typically about 257 people that come into the library. Assuming that there were 7 people observed coming into the library in a given hour, answer the questions below. For full marks your answer should be accurate to at least three decimal places. How many of the people observed would you expect to sign out a book? Expected number: 0 What is the standard deviation of this distribution? Standard Deviation: 0 What is the probability that the number of people that will get a book is 5? Probability: 0 What is the probability that the number of people that will get a book equals 4 or 5? Probability: 0 What is the probability that the number of people that will get a book is less than or equal to 3? Probability: 0

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Jon Southam verified

Numerade educator

Question 4 [5 points] Cement Co. has 40 cement trucks and of these 40 trucks 30 have engine defects. A Sample of 4 trucks is randomly selected. What is the probability that exactly 3 of those tested have engine defects? For full marks your answer should be accurate to at least four decimal places. P(X=3) = 0 Question 5 [6 points] A company uses large panels of sheet metal in the manufacturing of tandem trailers. There is an average of 3 blemishes per panel. Calculate the probabilities if the blemishes follow a Poisson process. For full marks your answer should be accurate to at least four decimal places. a)Exactly 3 blemishes on 2 panels? P(x) = 0 b)Fewer than 3 blemishes on 2 panels? P(x) = 0 c)Either 3 or 4 blemishes on 3 panels? P(x) = 0

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Manisha Sarker verified

Numerade educator

The random variable X has the following discrete probability distribution: Discrete Probability Distribution x | P(x) 23.00 | 0.02 31.00 | 0.05 39.00 | 0.33 47.00 | 0.10 55.00 | 0.04 63.00 | 0.04 71.00 | 0.42 a) Find the expected value of random variable X. For full marks your answer should be accurate to at least two decimal places. Expected Value: 0 b) Find the variance of this discrete probability distribution. For full marks your answer should be accurate to at least two decimal places. Variance: 0

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INSTANT ANSWER

Foundations for College Mathematics MAP4C-B Workbook Unit II 12 3. You decide to save for your child's education. You will invest \( \$ 150 / \) month until the child's \( 18^{\text {th }} \) birthday. [10 marks] a) How much will you have after 18 years if interest averages \( 7 \% \) compounded monthly in a non-RESP investment? b) If this were an RESP, the government would contribute \( 20 \% \), in effect creating a larger monthly investment. What would the new payment be including this extra \( 20 \% \) ? c) How much more will be earned after 18 years by choosing the RESP option at the same interest rate?

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