The random variable X is the number of color television sets owned by a randomly selected household with an annual income between $15,000 and $29,999. Its probability distribution is shown below. Complete parts a through c. 0 1 2 4 P(X=x) 0.356 0.277 0.179 + 3 0.111 0.077 a. Find the mean of the random variable. (Round to three decimal place as needed.) b. Find the standard deviation of the random variable. (Round to three decimal place as needed.) c. Draw a probability histogram for the random variable. Choose the correct graph below. ○ A. Color TVs 0.5- 0.4- 0.3- 0.2 0.1- 0 1 2 3 4 О в. ○ C. ○ D. Color TVs Color TVs Color TVs 0.5- 0.5- Probability 0.5- 0.4- 0.3- 0.2- 0.1- Probability 0.4- 0.3- 0.1- Probability 0.4- 0.3- 0.2- 0.1- 0 1 2 3 4 0 1 2 3 4 0 1 2 3 4
The random variable X is the number of color television sets owned by a randomly selected household with an annual income between $15,000 and $29,999. Its probability distribution is shown below. Complete parts a through c. 0 1 2 4 P(X=x) 0.356 0.277 0.179 + 3 0.111 0.077 a. Find the mean of the random variable. (Round to three decimal place as needed.) b. Find the standard deviation of the random variable. (Round to three decimal place as needed.) c. Draw a probability histogram for the random variable. Choose the correct graph below. ○ A. Color TVs 0.5- 0.4- 0.3- 0.2 0.1- 0 1 2 3 4 О в. ○ C. ○ D. Color TVs Color TVs Color TVs 0.5- 0.5- Probability 0.5- 0.4- 0.3- 0.2- 0.1- Probability 0.4- 0.3- 0.1- Probability 0.4- 0.3- 0.2- 0.1- 0 1 2 3 4 0 1 2 3 4 0 1 2 3 4
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:The random variable X is the number of color television sets owned by a randomly selected household with an annual income between $15,000 and $29,999. Its probability distribution is shown below. Complete parts a through c.
0
1
2
4
P(X=x) 0.356 0.277
0.179
+
3
0.111
0.077
a. Find the mean of the random variable.
(Round to three decimal place as needed.)
b. Find the standard deviation of the random variable.
(Round to three decimal place as needed.)
c. Draw a probability histogram for the random variable. Choose the correct graph below.
○ A.
Color TVs
0.5-
0.4-
0.3-
0.2
0.1-
0 1 2 3 4
О в.
○ C.
○ D.
Color TVs
Color TVs
Color TVs
0.5-
0.5-
Probability
0.5-
0.4-
0.3-
0.2-
0.1-
Probability
0.4-
0.3-
0.1-
Probability
0.4-
0.3-
0.2-
0.1-
0 1 2 3 4
0 1 2 3 4
0 1 2 3 4
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