Assume a Poisson distribution. Find the following probabilities. a Let=70 find P(X > 31
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- If a binomial experiment has probability p success, then the probability of failure is ____________________. The probability of getting exactly r successes in n trials of this experiment is C(_________, _________)p (1p)Assume that the probability that an airplane engine will fail during a torture test is 12and that the aircraft in question has 4 engines. Construct a sample space for the torture test. Use S for survive and F for fail.Yeast cells The famous statistician William Gosset, who worked for Guinness brewery in Ireland, took measurements of the number of yeast cells per square in a hemocytometer.Source: Statistical Methods in Biology. The data can be closely described by a Poisson distribution with a=4.68. Find probabilities of each of the following events. a. Fewer than 3 yeast cells b. Exactly 3 yeast cells c. At least 3 yeast cells