Public Housing Authority in a certain community conducted a survey of 1000 families to determine the distribution of families by size. The results are given below. Family Size 2 4 7 B Frequency of Occurrence 309 218 200 101 71 23 78 (a) Find the probability distribution of the random variable X, where X denotes the number of people in a randomly chosen family. (Enter your answers to three decimal places.) Family Size 2 6 7 P(X=X) 0.35 0.30 0.25 0.20 0.15 0.10 0.05 3 O (b) Draw the histogram corresponding to the probability distribution found in part (a). 0.35 0.35 0.30 0.30 0.25 0.25 0.20 0.20 0.15 0.15 0.10 0.05 309 218 200 5 101 6 8 71 23 78 0.10 0.05 O 0.35 0.30 0.25 0.20 0.15 0.10 0.05 2 1 3 2 3 50 45 07 (c) Find the probability that a family chosen at random from those surveyed has more than five members. (Enter your answer to three decimal places.)
Public Housing Authority in a certain community conducted a survey of 1000 families to determine the distribution of families by size. The results are given below. Family Size 2 4 7 B Frequency of Occurrence 309 218 200 101 71 23 78 (a) Find the probability distribution of the random variable X, where X denotes the number of people in a randomly chosen family. (Enter your answers to three decimal places.) Family Size 2 6 7 P(X=X) 0.35 0.30 0.25 0.20 0.15 0.10 0.05 3 O (b) Draw the histogram corresponding to the probability distribution found in part (a). 0.35 0.35 0.30 0.30 0.25 0.25 0.20 0.20 0.15 0.15 0.10 0.05 309 218 200 5 101 6 8 71 23 78 0.10 0.05 O 0.35 0.30 0.25 0.20 0.15 0.10 0.05 2 1 3 2 3 50 45 07 (c) Find the probability that a family chosen at random from those surveyed has more than five members. (Enter your answer to three decimal places.)
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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Transcribed Image Text:Public Housing Authority in a certain community conducted a survey of 1000 families to determine the distribution of families by size. The results are given below.
Family Size 2
4
7 8
Frequency of
Occurrence 309 218 200 101 71 23 78
(a) Find the probability distribution of the random variable X, where X denotes the number of people in a randomly chosen family. (Enter your answers to three decimal places.)
Family Size 2
4
5
6
7
8
P(X=X)
0.25
0.20
0.15
0.10
0.05
(b) Draw the histogram corresponding to the probability distribution found in part (a).
0.35
0.35
0.30
0.30
0.25
0.20
0.15
0.10
0.05
0.35
0.30
0.25
Need Help?
0.20
0.15
3
0.10
0.05
5
309 218 200 101
6
71
23 78
O
0.35
0.30
0.25
0.20
0.15
0.10
0.05
2 3
1
2 3
4 3
6
(c) Find the probability that a family chosen at random from those surveyed has more than five members. (Enter your answer to three decimal places.)
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