Question 1 (2 points) There is a certain disease in American which is very rare.

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Question 1 (2 points) There is a certain disease in American which is very rare. Each person has a probability of 1 in 100,000,000 of having the disease. Assume that there are 350,000,000 people in America. Approximate the probability that nobody in America actually has the disease. (Report your answer in 0.0000 format.) Approximate the probability that at most 2 people in America has the disease. (Report your answer in 0.0000 format.) Save Question 2 (4 points) According to Guinness Book of World Record (2005), the fastest pumpkin- carver on record, Steven Clark, carved 42 pumpkins an hour. Assume this is his average rate. We suppose that the carver can steadily maintain work at his record rate. What is the probability Steven will carve exactly 40 pumpkins in the next hour? (Provide the answer in 0.000 format) Given that he has carved at least 3 pumpkins in a 5-minute interval, what is the probability that he will carve at least 4 pumpkins during that 5-minute interval? (Provide the answer in 0.000 format) that he has carves fewer than 4 pumpkins in a 5-minute interval, what is the probability that he carved fewer than 2 pumpkins during that 5-minute interval? (Provide the answer in 0.000 format) is the expected number of pumpkins he can curve in 3 minutes at this pace? (Provide the answer in 0.0 format) Given what

Explanation / Answer

Ans 1

P(disease) = 1/100,000,000

There are 350,000,000 the expected number of diseased people is 3.5

Poisson Probability: P(X = 0) =0.030

Cumulative Probability: P(X < 2) =0.321

PS: We are directed to solve only 1st question if multiple questions are posted

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