1. Strikes in a factory occur according to a Poisson process at a mean rate of 2 per year(we assume a year to be exactly 52 weeks).(a) Find the probability that there is exactly one strike in the first 4 weeks and exactly3 strikes in the subsequent 13 weeks.(b) What is the probability that at least 2 strikes occur in 13 weeks?(c) How many strikes are expected to occur in 2 years?

Given : λ = 2 Apply Poisson distribution P(X=x) = e-λ λxx! mean per week = λ = 252…

Answered: 1. Strikes in a factory occur according…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Suppose 50% of the registered voters in a country are Republican if a sample of 598 voters is selected what is the probability that the simple proportion of republicans will be greater than 47% round your answer to 4 decimal places
Suppose bird attacks follow a Poisson process and attacks occur at a rate of 4 attacks per week What is the probability of a bird free week (0 bird attacks)? In a period of 16 weeks, what is the probability of exactly 2 bird free weeks? What is the probability that it takes 16 weeks for there to be exactly 3 bird free weeks?
Disregarding the possibility of a February 29 birthday, suppose a randomly selected individual is equally likely to have been born on any one of the other 365 days. (a) If 8 people are randomly selected, what is the probability that all have different birthdays? (Round your answer to three decimal places.) If 8 people are randomly selected, what is the probability that at least two have the same birthday? (Round your answer to three decimal places.) (b) With k replacing 8 in part (a), what is the smallest k for which there is at least a 50-50 chance that two or more people will have the same birthday? (c) If 8 people are randomly selected, what is the probability that either at least two have the same birthday or at least two have the same last three digits of their Social Se [Note: The article "Methods for Studying Coincidences"+ discusses problems of this type.] (Assume birthdays and the last three digits of Social Security numbers are ind- your answer to three decimal places.)
5. A new type of car tires is released on the market with rate of tire cracking: on average one crack every 2000km. (a) What is the probability that a randomly chosen tire will cover a distance of 500km without a single crack? (b) How many tires are expected to have two ore more cracks within a distance of 500km?
how do i solve parts A and B?
#24) a random sample of 15 heart rate monitors. If 20% of the heart rate monitors are defective in the series, what is the probability that between 5 and 8 (inclusive) heart rate monitors from this sample are defective?
The lengths of a particular animal's pregnancies are approximately normally distributed, with mean u = 260 days and standard deviation o = 8 days. (a) What proportion of pregnancies lasts more than 272 days? (b) What proportion of pregnancies lasts between 248 and 266 days? (c) What is the probability that a randomly selected pregnancy lasts no more than 256 days? (d) A "very preterm" baby is one whose gestation period is less than 242 days. Are very preterm babies unusual?
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