Unformatted text preview: 3. The monthly worldwide average number of airplane crashes of commercial airlines is 3.5. Assume that the number of such crashes is a Poisson random variable. What is the probability that there will be (a) at least 2 such accidents in the next month? (b) at most 1 accident in the next month? 4. The distribution function of a random variable X is given by: 3 if , 1 3 2 if 1/2, 2 1 if , 3 / 1 1 if , ) ( ≥ < ≤ < ≤ < = x x x x x F Find: (a) P(X=1) (b) P(X=3/2) (c) P(X=2) (d) E(X) 5. A graduate class consists of six students. What is the probability that exactly three of them were born either in April or in October?...
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 Fall '07
 ENGQUIST
 Math, Statistics, Probability, Probability theory, Randomness, Discrete probability distribution, Probability mass function, Poisson random variable

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