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Consider the random variable L, the length of time it takes to hear a case in a small claims court. Assume that the probability function for L is a constant, c, over the interval 20 to 120 minutes. а. Find the value of c that makes this a probability function. b. Find the P( L< 30) and P(L < 30). Are these results the same? c. Find the probability that it will take more than an hour to hear a case. d. Find the probability that it will take exactly 1 hour to hear a case.

Consider the random variable L, the length of time it takes to hear a case in a small claims court. Assume that the probability function for L is a constant, c, over the interval 20 to 120 minutes. а. Find the value of c that makes this a probability function. b. Find the P( L< 30) and P(L < 30). Are these results the same? c. Find the probability that it will take more than an hour to hear a case. d. Find the probability that it will take exactly 1 hour to hear a case.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Consider the random variable L, the length of time it takes to hear a case in a small claims court. Assume that the probability function for L is a constant, c, over the interval 20 to 120 minutes. а. Find the value of c that makes this a probability function. b. Find the P( L< 30) and P(L < 30). Are these results the same? с. Find the probability that it will take more than an hour to hear a case. d. Find the probability that it will take exactly 1 hour to hear a case.
Transcribed Image Text:Consider the random variable L, the length of time it takes to hear a case in a small claims court. Assume that the probability function for L is a constant, c, over the interval 20 to 120 minutes. а. Find the value of c that makes this a probability function. b. Find the P( L< 30) and P(L < 30). Are these results the same? с. Find the probability that it will take more than an hour to hear a case. d. Find the probability that it will take exactly 1 hour to hear a case.
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