1. For a binomial distribution, if the probability of success is 0.621 on the first trial, what is the probability of success on the second trial?
2.A company purchases shipments of machine components and uses
this acceptance sampling plan:
Randomly select and test 32 components and accept the whole batch if there are fewer than 5 defectives.If a particular shipment of thousands of components actually has a 5.5% rate of defects, what is the probability that this whole shipment will be accepted?
(HINT: Rephrase the question: "What is the probability that in a sample of 32 components there are at most 4 defective ones?")
3.If the random variable x has a Poisson Distribution with mean
μ = 13.8, find the maximum usual value
Round your answer to two decimal places.
4.In one town, the number of burglaries in a week has a Poisson distribution with mean μ = 3.6. Let variable x denote the number of burglaries in this town in a randomly selected month. Find the smallest usual value for x. Round your answer to three decimal places.
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