A consumer agency surveyed all 2500 families living in a small town to collect data on the number of television sets owned by them. The following table lists the frequency distribution of the data collected by this agency. Number of TV sets owned Number of families 1 2 3 4 120 970 730 410 270 (a) Construct a probability distribution table for the numbers of television sets owned by these families. Draw a bar graph of the probability distribution. Are the probabilities listed in the table of part a) exact or approximate probabilities of various outcomes? Explain. Let X denote the number of television sets owned by a randomly selected family from this town. Find the following probabilities. (i) (b) (c) P(X= 1) (ii) P(X> 2)
A consumer agency surveyed all 2500 families living in a small town to collect data on the number of television sets owned by them. The following table lists the frequency distribution of the data collected by this agency. Number of TV sets owned Number of families 1 2 3 4 120 970 730 410 270 (a) Construct a probability distribution table for the numbers of television sets owned by these families. Draw a bar graph of the probability distribution. Are the probabilities listed in the table of part a) exact or approximate probabilities of various outcomes? Explain. Let X denote the number of television sets owned by a randomly selected family from this town. Find the following probabilities. (i) (b) (c) P(X= 1) (ii) P(X> 2)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Transcribed Image Text:A consumer agency surveyed all 2500 families living in a small town to collect data
on the number of television sets owned by them. The following table lists the
frequency distribution of the data collected by this agency.
5.
Number of TV sets owned
1
2
3
4
Number of families
120
970
730
410
270
(a)
Construct a probability distribution table for the numbers of television sets
owned by these families. Draw a bar graph of the probability distribution.
Are the probabilities listed in the table of part a) exact or approximate
probabilities of various outcomes? Explain.
Let X denote the number of television sets owned by a randomly selected
family from this town. Find the following probabilities.
(i)
(iii)
Find the mean and standard deviation for the probability distribution
developed for the number of television sets owned by all 2500 families in a
town. Give a brief interpretation of the values of the mean and standard
deviation.
(b)
(c)
P(X= 1)
P(X <1)
(ii)
(iv)
P(X> 2)
P(1< X <3)
(d)
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