Let X be a random variable representing the number of policies, a life insurance salesman sells per week. It is known that the salesman sells on the average 3 life insurance policies per week. 1. What model would you propose for X? Compute E(X) and V(X). 2. Calculate the probability that in a given week (a) he will sell 2 or more policies but less than 5 policies. (b) he will sell more than 2 policies. 3. Assuming that there are 5 working days per week, what is the probability that in a given day he will sell one policy?

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.3: Binomial Probability
Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...
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Let X be a random variable representing the number of policies, a life insurance salesman sells
per week. It is known that the salesman sells on the average 3 life insurance policies per week.
1. What model would you propose for X? Compute E (X) and V(X).
2. Calculate the probability that in a given week
(a) he will sell 2 or more policies but less than 5 policies.
(b) he will sell more than 2 policies.
3. Assuming that there are 5 working days per week, what is the probability that in a given day
he will sell one policy?
Transcribed Image Text:Let X be a random variable representing the number of policies, a life insurance salesman sells per week. It is known that the salesman sells on the average 3 life insurance policies per week. 1. What model would you propose for X? Compute E (X) and V(X). 2. Calculate the probability that in a given week (a) he will sell 2 or more policies but less than 5 policies. (b) he will sell more than 2 policies. 3. Assuming that there are 5 working days per week, what is the probability that in a given day he will sell one policy?
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