In the biathton event of the Olympic Games, a participant skis crosscountry and on four intermittent...

In the biathton event of the Olympic Games, a participant skis crosscountry and on four intermittent occasions stops at a rifle range and shoots a set of five shots. If the center of the target is hit, no penalty points are assessed. A particular individual has a history of hitting the center of the target 91% of the time. If 12 shots are taken, answer the following questions. Round your answers to 3 decimal places.

a. Find the probability that they will hit the target exactly 9 times. (for this part only you must demonstrate that you have used the binomial formula to receive credit for this problem).

b. Find the probability that they hit the target more than 10 times.

c. Find the probability that they wilt hit the target less than 8 times.

d. What is the mean of this distribution?

e. What is the standard deviation of this distribution.

Expert Solution

We calculate the probabilities and mean, standard deviation of the distribution.

orchestra answered 1 year ago

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