There ae 1000 households in a town. Specifically, there are 100 households with one member,200 households with 2 members, 300 households with 3 members, 200 households with 4 members,100 households with 5 members, and 100 households with 6 members. Thus, the total number of peopleliving in the town isN = 100 1 + 200 2+ 300 3+200 4+100 5 + 100.613300a. We pick a household at random, and define the random variable X as the number of people in the chosenhousehold. Find the PMF and the expected value of X.of people inb. We pick a person in the town at random, and define the random variable Y as the numberthe household where the chosen person lives. Find the PMF and the expected value of Y.

Given that, Total number of households (n) = 1000 Members No.of households People living in the…

Answered: household. Fin We pick a pers the…

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Statistics

household. Fin We pick a pers the household

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section11.8: Probabilities Of Disjoint And Overlapping Events

Problem 2C

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Question

There ae 1000 households in a town. Specifically, there are 100 households with one member,
200 households with 2 members, 300 households with 3 members, 200 households with 4 members,
100 households with 5 members, and 100 households with 6 members. Thus, the total number of people
living in the town is
N = 100 1 + 200 2+ 300 3+200 4+100 5 + 100.6
1
3300
a. We pick a household at random, and define the random variable X as the number of people in the chosen
household. Find the PMF and the expected value of X.
of people in
b. We pick a person in the town at random, and define the random variable Y as the number
the household where the chosen person lives. Find the PMF and the expected value of Y.

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