a. Explanation Calculation: The number of serious accidents in a manufacturing plant has a Poisson probability distribution with a mean of two serious accidents per month. Also, if x is the number of events per unit time having a Poisson distribution with mean λ , then the time between two successive events has an exponential distribution with mean, θ = 1 λ . Poisson distribution: A random variable x is said to have a Poisson distribution with mean λ if the probability distribution of x is as follows: p ( x ) = λ x e − λ x ! , x = 0 , 1 , 2 , ... Define the random variable x as the number of serious accidents per month b. To determine Find the probability that more than one serious accident will occur within the next month.

13th Edition

ISBN: 9780134080215

Author: James T. McClave, Terry T Sincich

Publisher: PEARSON

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Chapter 5, Problem 154ACA

To determine

Find the probability that the next serious accident will not occur within the next month if an accident occurs today.

To determine

Find the probability that more than one serious accident will occur within the next month.

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Chapter 5, Problem 153ACA

Chapter 5, Problem 155ACA

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To evaluate the success of a 1-year experimental program designed to increase the mathematical achievement of underprivileged high school seniors, a random sample of participants in the program will be selected and their mathematics scores will be compared with the previous year’s statewide average of 525 for underprivileged seniors. The researchers want to determine whether the experimental program has increased the mean achievement level over the previous year’s statewide average. If alpha=.05, what sample size is needed to have a probability of Type II error of at most .025 if the actual mean is increased to 550? From previous results, sigma=80.

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Statistics (13th Edition)

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