The number of cracks in a section of interstate highway that are significant enough to require repair is assumed to follow a Poisson distribution with a mean of two cracks per mile.a. determine the probability mass function of the number of cracks (x) in 5 miles away.b. Find the probability that there are at least five cracks in 5 miles of highway that require repair.c. calculate the mean and variance of X. 2. Find the probability that there are at least five cracks in 5 miles ofhighway that require repair.3. Calculate the mean and variance of X. Exercise 5.6 The number of cracks that need repair in a section of interstate highwayfollows a Poisson distribution with a mean of two cracks per mile.1. Determine the probability mass function of the number of cracks (X) in5 miles of highway.

Given Information Mean = 2 cracks per mile Number of cracks in 5 miles

The number of cracks in a section of interstate highway that are significant enough to require repair is assumed to follow a Poisson distribution with a mean of two cracks per mile. a. determine the probability mass function of the number of cracks (x) in 5 miles away. b. Find the probability that there are at least five cracks in 5 miles of highway that require repair. c. calculate the mean and variance of X.

The number of cracks in a section of interstate highway that are significant enough to require repair is assumed to follow a Poisson distribution with a mean of two cracks per mile. a. determine the probability mass function of the number of cracks (x) in 5 miles away. b. Find the probability that there are at least five cracks in 5 miles of highway that require repair. c. calculate the mean and variance of X.

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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Concept explainers

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.

Question

The number of cracks in a section of interstate highway that are significant enough to require repair is assumed to follow a Poisson distribution with a mean of two cracks per mile.

a. determine the probability mass function of the number of cracks (x) in 5 miles away.
b. Find the probability that there are at least five cracks in 5 miles of highway that require repair.
c. calculate the mean and variance of X.

2. Find the probability that there are at least five cracks in 5 miles of
highway that require repair.
3. Calculate the mean and variance of X.

Exercise 5.6 The number of cracks that need repair in a section of interstate highway
follows a Poisson distribution with a mean of two cracks per mile.
1. Determine the probability mass function of the number of cracks (X) in
5 miles of highway.

Expression, rule, or law that gives the relationship between an independent variable and dependent variable. Some important types of functions are injective function, surjective function, polynomial function, and inverse function.

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