1) Suppose the number of cracks per concretespecimen for a particular type of cement mix hasapproximately a Poisson probability distribution.Furthermore, assume that the average numberof cracks per specimen is 2.5.a) Find the mean and standard deviation of thenumber of cracks per concrete specimen.b) Find the probability that a randomly selectedconcrete specimen has exactly five cracks.Find the probability that a randomly selectedconcrete specimen has two or more cracks.STAT210: Probability and StatisticsExercises2) A nuclear plant releases a detectable amount ofradioactive gases twice a month on the average.a) Find the probability that there will be at mostfour such emissions during a month.b) Find the probability that there will be 5 or moresuch emissions during 3-month month period.c) What is the expected number of emissions duringa three-month period?d) If, in fact, 12 or more emissions are detectedduring a three-month period, do you think thatthere is a reason to be suspicious of the reportedaverage figure of twice a month? Explain.

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1) Suppose the number of cracks per concrete specimen for a particular type of cement mix has approximately a Poisson probability distribution. Furthermore, assume that the average number of cracks per specimen is 2.5. a) Find the mean and standard deviation of the number of cracks per concrete specimen. b) Find the probability that a randomly selected concrete specimen has exactly five cracks. c) Find the probability that a randomly selected concrete specimen has two or more cracks. STAT210: Probability and Statistics

1) Suppose the number of cracks per concrete specimen for a particular type of cement mix has approximately a Poisson probability distribution. Furthermore, assume that the average number of cracks per specimen is 2.5. a) Find the mean and standard deviation of the number of cracks per concrete specimen. b) Find the probability that a randomly selected concrete specimen has exactly five cracks. c) Find the probability that a randomly selected concrete specimen has two or more cracks. STAT210: Probability and Statistics

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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