Question

3. As part of the underwriting process for insurance, each prospective policyholder is tested for high cholesterol. Let r represent the number of tests completed when the first person with cholesterol is found. The expec of Y is 3.5. Calculate the probability that the tenth person tested is the third one with high cholesterol. 4. Vehicle speed on a freeway, where speed limit is 70 miles per hour. follows a normal distribution with a mean of 73 miles per hour and a standard deviation of 5 miles per hour. Find the probability that at lease 3 of more of 10 randomly selected vehicles on the highway are speeding.

Answer 1

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Question 3 solved

As part of the underwriting process for insurance, each prospective policyholder is tested for high cholesterol. Let Y represent the number of tests completed when the first person with cholesterol is found. The expected values of Y is 3.5. Calculate the probability that the 10th person tested is the third one with high cholesterol

E(X) = 3.5

P(Person has high blood pressure) = 1/E(X) = 1/3.5 = 0.2857

P(10th person has high blood pressure)
=P(first 9 do not have high BP) *P(tenth has high blood pressure)
= (1- 0.2857)^9 (0.2857)
= 0.0138