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.

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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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