Answer the following questions showing all work.  If you use Minitab Express include the appropriate output (copy + paste).  Output without explanation will not receive full credit. Round all answers to 3 decimal places. If you have any questions, post them to the course discussion board.

 

(17 points)

 

 

1. The National Hockey League championship is decided by the best of seven playoff called the Stanley Cup Finals.  Below is the probability distribution of the number of hockey games to complete the Stanley Cup Finals for a period of 25 years.

 

 

A. Is number games in the series a discrete or continuous variable? Explain why.

B. What is the probability that the series will be completed in 5 games?

C. Compute the mean of the probability distribution.

D. Compute the standard deviation of the probability distribution.

E.  What is the probability the series will run at least 6 games?

 

2. You may use Minitab Express to answer the following set of questions. Be sure to include all relevant output and clearly identify your answers by writing a sentence.

70% of American adults use their cell phones to access the internet.  Suppose we take a random sample of 10 adult Americans.

 

A. Explain why this is an example of a binomial random variable.

B. What are the values of the parameters n and p?

C. How many of the adult Americans in the sample do you expect to use cell phones to access the internet? (What is the mean of this probability distribution?)

D. What is the standard deviation of this probability distribution?

E. What is the probability all of the adults in the sample use cell phones to access the internet?

F.  What is the probability that 4 of the adults in the sample use cell phones to access the internet?

G. What is the probability that at least 1 of the adults in the sample uses a cell phone to access the internet?

H.  What is the probability that at most 3 of the adults in the sample use cell phones to access the internet?

 

 

3. You may use Minitab Express to answer the following questions if you choose. 

A study of Pennsylvania hospitals showed that the patient length of stay is approximately normally distributed with a mean of 4.87 days and a standard deviation of .97 days.

 

A.  What is the probability that a randomly selected patient will stay at the hospital more than 6 days?

B.  What is the probability that a randomly selected patient will stay at the hospital between 3 and 7 days?

C.  What is the probability that a randomly selected patient will stay at the hospital less than 2 days?

 

D.  How many days do more than 10% of patients stay in the hospital?

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