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54. Suppose the probability distribution for X at a school is as given in the following table. number of jobs held during the past year for students %3D No. of Jobs Probability ??? 0.37 1 4 0.29 0.15 0.05 (a) Find the probability that a randomly selected student did not hold a job in the past year. (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.

54. Suppose the probability distribution for X at a school is as given in the following table. number of jobs held during the past year for students %3D No. of Jobs Probability ??? 0.37 1 4 0.29 0.15 0.05 (a) Find the probability that a randomly selected student did not hold a job in the past year. (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.

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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H. V 112 7.6 Topic 6: Discrete Distributions 53. Identify each variable as discrete or continuous. (a) Number of meals cooked at home each week (b) Times in the 2018 Olympic bobsled (c) Number of boat scars on a manatee 54. Suppose the probability distribution for X = number of jobs held during the past year for students at a school is as given in the following table. No. of Jobs 1 3 4 Probability ??? 0.37 0.29 0.15 0.05 (a) Find the probability that a randomly selected student did not hold a job in the past year. (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:H. V 112 7.6 Topic 6: Discrete Distributions 53. Identify each variable as discrete or continuous. (a) Number of meals cooked at home each week (b) Times in the 2018 Olympic bobsled (c) Number of boat scars on a manatee 54. Suppose the probability distribution for X = number of jobs held during the past year for students at a school is as given in the following table. No. of Jobs 1 3 4 Probability ??? 0.37 0.29 0.15 0.05 (a) Find the probability that a randomly selected student did not hold a job in the past year. (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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