The number of bad checks that a bank receives during a 5-hour business day is a Poisson random variable with λ = 2. What is the probability that it will not receive a bad check on any one day during the first 2 hours of business?
Answer to relevant QuestionsThe number of planes arriving per day at a small private airport is a random variable having a Poisson distribution with λ = 28.8. What is the probability that the time between two such arrivals is at least 1 hour? If Z is a random variable having the standard normal distribution, find (a) P(Z < 1.33); (b) P(Z ≥ – 0.79); (c) P(0.55 < Z < 1.22); (d) P(–1.90 ≤ Z ≤ 0.44). (a) Use a computer program to find the probability that a random variable having the normal distribution with mean 5.853 and the standard deviation 1.361 will assume a value greater than 8.625. (b) Interpolate in Table III ...Use the normal approximation to the binomial distribution to determine (to four decimals) the probability of getting 7 heads and 7 tails in 14 flips of a balanced coin. Also refer to Table I on pages 487– 491 to find the ...If X has a binomial distribution with n = 3 and θ = 1/3 , find the probability distributions of (a) Y = X / 1+ X ; (b) U = (X – 1)4.
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