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1. The proportion of people who responded to a certain mail-order solicitation is a (2(x+2) 2,0

1. The proportion of people who responded to a certain mail-order solicitation is a (2(x+2) 2,0

College Algebra
College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Matrices And Determinants
Section7.2: Operations With Matrices
Problem 12ECP
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1. The proportion of people who responded to a certain mail-order solicitation is a (2(x+2) , 0 <x < 1 0, elsewhere continuous random variable X that has the density function f(x) = a) Show that P(0 < x < 1) = 1 b) Find the probability that more than - but fewer than of the people contacted will respond to this type of solicitation. 2. The waiting time in hours, between successive speeders spotted by a radar unit is a continuous random variables with cumulative distributive function 0, x < 0 F(x) = {1 – e-Bx, x 2 0 Find the probability of waiting less than 12 minutes between successive speeders. a) Using the cumulative distribution function of X; b) Using the probability distrībutive function of X 3. Suppose it is known from large amounts of historical data that X, the number of cars that arrive at a specific intersection during a 20 second time period, is characterized by the following discrete pro bability function f(x) = e-x = 0,1,2,. a) Find the probability that in a specific 20 second time period; more than 8 cars arrive at the intersection. b) Find the probability that only 2 cars arrive.
Transcribed Image Text:1. The proportion of people who responded to a certain mail-order solicitation is a (2(x+2) , 0 <x < 1 0, elsewhere continuous random variable X that has the density function f(x) = a) Show that P(0 < x < 1) = 1 b) Find the probability that more than - but fewer than of the people contacted will respond to this type of solicitation. 2. The waiting time in hours, between successive speeders spotted by a radar unit is a continuous random variables with cumulative distributive function 0, x < 0 F(x) = {1 – e-Bx, x 2 0 Find the probability of waiting less than 12 minutes between successive speeders. a) Using the cumulative distribution function of X; b) Using the probability distrībutive function of X 3. Suppose it is known from large amounts of historical data that X, the number of cars that arrive at a specific intersection during a 20 second time period, is characterized by the following discrete pro bability function f(x) = e-x = 0,1,2,. a) Find the probability that in a specific 20 second time period; more than 8 cars arrive at the intersection. b) Find the probability that only 2 cars arrive.
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