Q2 The waiting time, in hours, between successive speeders spotted by a radar unit is a continuous ran- dom variable with cumulative distribution function [0, x < 0, F(x) = (1-e-8=, x>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 density function of X.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
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Q2
The waiting time, in hours, between successive
speeders spotted by a radar unit is a continuous ran-
dom variable with cumulative distribution function
SO,
(1-e-
x < 0,
x > 0.
F(x) =
Find the probability of waiting less than 12 minutes
between successive speeders
(a) using the cumulative distribution function of X;
(b) using the probability density function of X.
Transcribed Image Text:Q2 The waiting time, in hours, between successive speeders spotted by a radar unit is a continuous ran- dom variable with cumulative distribution function SO, (1-e- x < 0, x > 0. F(x) = Find the probability of waiting less than 12 minutes between successive speeders (a) using the cumulative distribution function of X; (b) using the probability density function of X.
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