Suppose, in a car shop, the number of cars sold by a salesman follows a probability distribution with an average number of 2 cars sold per week by that salesman. a) What is the probability that, at least 5 cars are sold in the next 4 weeks? b) Find the probability that in the next twelve weeks there are exactly 9 weeks in which more than 5 cars are sold. c) The shop owner decides that the salesman will receive a bonus if he sells more than 25 cars in the next 10 weeks. Use a suitable approximation to estimate the probability that the salesman will receive the bonus.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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Suppose, in a car shop, the number of cars sold by a salesman follows a probability distribution with an average number of 2 cars sold per week by that salesman.  

a) What is the probability that, at least 5 cars are sold in the next 4 weeks? 

b) Find the probability that in the next twelve weeks there are exactly 9 weeks in which more than 5 cars are sold. 

c) The shop owner decides that the salesman will receive a bonus if he sells more than  25 cars in the next 10 weeks. Use a suitable approximation to estimate the probability that the salesman will receive the bonus.

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