Question

In: Statistics and Probability

A life insurance salesman sells on average 5 life insurances policies per week. Calculate the probability...

A life insurance salesman sells on average 5 life insurances policies per week. Calculate the probability that in a given week he will sell

Less than 3

2 or more, but no less than 6 policies

Solutions

Expert Solution

a) P(Less than 3)

= Poisson.dist(2, 5, True) [Excel Formula]

= 0.1247

b) P(2 or more but no more than 6)

= F(6) - F(1)

= Poisson.dist(6, 5, True) - Poisson.dist(1, 5, True)

= 0.7218


Related Solutions

A life insurance salesman works on commission. Suppose the sales, on average, 3 policies per week....
A life insurance salesman works on commission. Suppose the sales, on average, 3 policies per week. a) What is the probability that he fails to sell any policies in a week? b) What is the probability that he sells between 3 and 5 policies in one week. Note that for Poisson distributions, the mean is proportional to the length of the interval. c) Given that a work-week for the salesman is five days, what is the probability that the insurance...
Calculate the Probability *Binomial Distribution* An insurance company sells life insurance policies to 5 people with...
Calculate the Probability *Binomial Distribution* An insurance company sells life insurance policies to 5 people with the same age (35) and the same health condition (Excellent). If the Insurance company was estimating at 66% the probability of a person of that age and health condition should live 30 more years. What is the probability that 30 years after buying the policy: a. All 5 are alive b. 4 out of 5 have died c. No more than 3 survive d....
Imagine that an insurance company claims 7 policies on average per month. Calculate the probability that...
Imagine that an insurance company claims 7 policies on average per month. Calculate the probability that no policy will be claimed in a week
A life-insurance salesman spends 9 hours a week on the telephone soliciting new clients. From past...
A life-insurance salesman spends 9 hours a week on the telephone soliciting new clients. From past experience, the salesman estimates that each hour spent calling students, blue-collar workers, and professionals will produce the following number of additional sales: Number of Additional Sales Hours Calling Students Blue-Collar Workers Professionals 1 10 8 14 2 8 6 11 3 6 4 8 4 4 3 6 5 1 1 4 6 0 0 1 a.   How should the life-insurance salesman allocate his...
Neighborhood Insurance sells fire insurance policies to local homeowners. The premium is $110, the probability of...
Neighborhood Insurance sells fire insurance policies to local homeowners. The premium is $110, the probability of a fire is 0.1%, and in the event of a fire, the insured damages (the payout on the policy) will be $100,000. a. Make a table of the two possible payouts on each policy with the probability of each. Outcome A: No Fire Outcome B: Fire! Payout c. Now suppose your company issues two policies. The risk of fire is independent across the two...
Neighborhood Insurance sells fire insurance policies to local homeowners. The premium is $150, the probability of...
Neighborhood Insurance sells fire insurance policies to local homeowners. The premium is $150, the probability of a fire is 0.1%, and in the event of a fire, the insured damages (the payout on the policy) will be $140,000. a. Make a table of the two possible payouts on each policy with the probability of each. b. Suppose you own the entire firm, and the company issues only one policy. What are the expected value, variance and standard deviation of your...
Neighborhood Insurance sells fire insurance policies to local homeowners. The premium is $240, the probability of...
Neighborhood Insurance sells fire insurance policies to local homeowners. The premium is $240, the probability of a fire is 0.1%, and in the event of a fire, the insured damages (the payout on the policy) will be $230,000. a. Make a table of the two possible payouts on each policy with the probability of each. b. Suppose you own the entire firm, and the company issues only one policy. What are the expected value, variance and standard deviation of your...
A company sells life insurance policies for $550. If the policyholder dies in the next 10...
A company sells life insurance policies for $550. If the policyholder dies in the next 10 years, then the company will pay out $43,000 to the benefactor. Otherwise, the company pays out nothing. What is the expected profit per policy for the company, given that the probability of death for a policyholder in the next 10 years is 0.004? Report your answer rounded to the nearest dollar. NO CENTS.
A company sells two types of life insurance policies (P and Q) and one type of...
A company sells two types of life insurance policies (P and Q) and one type of health insurance policy. A survey of potential customers revealed the following: i) No survey participant wanted to purchase both life policies. ii) Twice as many survey participants wanted to purchase life policy P as life policy Q. iii) 45% of survey participants wanted to purchase the health policy. iv) 18% of survey participants wanted to purchase only the health policy. v) The event that...
What is the difference between Whole Life Insurance and Term life Insurance policies?
What is the difference between Whole Life Insurance and Term life Insurance policies?
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT