(a) Explanation Given info: The length of time between arrivals at a hospital clinic has an exponential distribution with mean θ = 4 minutes. Calculation: Exponential Distribution: A random variable X is said to follow exponential distribution if the density function of X is, f ( x ) = 1 θ e 2 x θ , ( x > 0 ) , Where the mean is μ = θ and the standard deviation is σ = θ . Consider a random variable X follows, Exponential distribution with mean θ = 4 , such that X = interval time between patients (b) To determine To find: The probability that the next four interval times are all less than 1 minute. (c) To determine To find: The probability that an interval time will exceed 10 minutes.

13th Edition

ISBN: 9780134080215

Author: James T. McClave, Terry T Sincich

Publisher: PEARSON

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

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Chapter 5, Problem 134ACB

(a)

To determine

To find: The probability that is less than 1 minute.

(b)

To determine

To find: The probability that the next four interval times are all less than 1 minute.

(c)

To determine

To find: The probability that an interval time will exceed 10 minutes.

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Chapter 5, Problem 133ACB

Chapter 5, Problem 135ACB

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Chapter 5 Solutions

Statistics (13th Edition)

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