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- Fruit Fly Lifetimes Suppose that the probability function in the table below reflects the possible lifetimes (in months after emergence) for fruit flies. Let the random variable X measure fruit fly lifetimes (in months). Fruit fly lifetimes (in months) 1 2 3 4 5 6 p(x) | 0.30 ? 0.20 0.1o 0.10 0.05 (a) What proportion of fruit flies die in their second month? Enter the exact answer. P(X = 2) = i eTextbook and Media (b) What is the probability that a fruit fly lives more than four months? Enter the exact answer. P(more than four months) = eTextbook and Media (c) What is the mean lifetime for a fruit fly? Enter the exact answer. i months eTextbook and Media (d) What is the standard deviation of fruit fly lifetimes? Round your answer to two decimal places, O = i months eTextbook and MediaComplete parts (a) and (b) below. The number of dogs per household in a small town x P(x)0 0.6671 0.2052 0.0833 0.0244 0.0145 0.006 (a) Find the mean, variance, and standard deviation of the probability distribution. Find the mean of the probability distribution. (b) Use the found values of the mean and the standard deviation to interpret the results in the context of the real-life situation.Actuarial Mathematicsss
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