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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.

College Algebra
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.3: Binomial Probability
Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...
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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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