The annual number of industrial accidents occurring in a particular manufacturing plant is known… 1 answer below »
The annual number of industrial accidents occurring in a particular manufacturing plant is known to follow a Poisson distribution with mean 12
a. What is the probability of observing exactly 12 accidents during the coming year?
b. What is the probability of observing no more than 12 accidents during the coming year?
c. What is the probability of observing at least 15 accidents during the coming year?
d. What is the probability of observing between 10 and 15 accidents (inclusive) during the coming year? e. Find the smallest integer k such that we can he at least 99% sure that the annual number of accidents occurring will be less than It
Suppose that X, the number of customers arriving each hour at the only checkout counter in a local pharmacy. is approximately Poisson distributed with an expected arrival rate of 20 customers per how. a. Find the probability that Xis exactly 10. h. Find the probability that X is at least 5. c. Find the probability that le is nn more than 75 d. Find the probability that X is between IC and 30 (inclusive). e. Find the largest integer k such that we can be at least 95% sure that X will be greater than k F. Recalling the relationship between the Poisson and exponential distributions, find the probability that the time between two successive customer arrivals is more than four minutes. Find the probability that it is less than two minutes.
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