A survey was conducted by the Public Housing Authority in a certain community among 1000 families to determine the distribution of families by size. The results are given below. Family Size 2 3 4 5 6 7 8 Frequency of Occurrence 310 186 211 120 61 28 84 (a) Find the probability distribution of the random variable X, where X denotes the number of people in a randomly chosen family. Give exact answers. Family Size 3 4 6 8. P(X = x) (b) What is the expected value of X? (Give an exact answer.) people

Calculus: Early Transcendentals
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ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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A survey was conducted by the Public Housing Authority in a certain community among 1000 families to determine the distribution of families by size. The results are given below.
Family Size
2 3
4 5 6 7 8
Frequency of Occurrence 310 186 211 120 61 28 84
(a) Find the probability distribution of the random variable X, where X denotes the number of people in a randomly chosen family. Give exact answers.
Family Size
3
4
6
8.
P(X = x)
(b) What is the expected value of X? (Give an exact answer.)
people
Transcribed Image Text:A survey was conducted by the Public Housing Authority in a certain community among 1000 families to determine the distribution of families by size. The results are given below. Family Size 2 3 4 5 6 7 8 Frequency of Occurrence 310 186 211 120 61 28 84 (a) Find the probability distribution of the random variable X, where X denotes the number of people in a randomly chosen family. Give exact answers. Family Size 3 4 6 8. P(X = x) (b) What is the expected value of X? (Give an exact answer.) people
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