55. A concert producer has scheduled an outdoor concert for next Saturday. If it does not rain, the producer expects to make $20,000 profit. If it does rain, the producer will be forced to cancel the concert and will lose $12,000. The producer has learned that the probability of rain next Saturday is 0.4. (a) Let X = amount of money the producer will either make or lose. Find the probability distribution of X. (b) Find the producer's expected profit from the concert.

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Author:Amos Gilat
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Q55 AB
(a) Find the próbábility that a randomly selecteuU studelnt
(b) Find the probability that a randomly selected student held two or fewer jobs in the past
year.
(c) Find the probability that a randomly selected student held at least one job during the past
year.
(d) Find the expected number of jobs that students held within the past year.
55. A concert producer has scheduled an outdoor concert for next Saturday. If it does not rain, the
producer expects to make $20,000 profit. If it does rain, the producer will be forced to cancel
the concert and will lose $12,000. The producer has learned that the probability of rain next
Saturday is 0.4.
(a) Let X = amount of money the producer will either make or lose. Find the probability
distribution of X.
(b) Find the producer's expected profit from the concert.
Transcribed Image Text:(a) Find the próbábility that a randomly selecteuU studelnt (b) Find the probability that a randomly selected student held two or fewer jobs in the past year. (c) Find the probability that a randomly selected student held at least one job during the past year. (d) Find the expected number of jobs that students held within the past year. 55. A concert producer has scheduled an outdoor concert for next Saturday. If it does not rain, the producer expects to make $20,000 profit. If it does rain, the producer will be forced to cancel the concert and will lose $12,000. The producer has learned that the probability of rain next Saturday is 0.4. (a) Let X = amount of money the producer will either make or lose. Find the probability distribution of X. (b) Find the producer's expected profit from the concert.
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