Video Arcades Your company, Sonic Video, Inc ., has conducted research that shows the following probability distribution, where X is the number of video arcades in a randomly chosen city with more than 500,000 inhabitants: x 0 1 2 3 4 5 6 7 8 9 P ( X = x ) .07 .09 .35 .25 .15 .03 .02 .02 .01 .01 a. Compute μ = E ( X ) , and interpret the result. [ hinT: See Example 3.] b. Which is larger: P ( X < μ ) or P ( X > μ ) ? Interpret the result.
Video Arcades Your company, Sonic Video, Inc ., has conducted research that shows the following probability distribution, where X is the number of video arcades in a randomly chosen city with more than 500,000 inhabitants: x 0 1 2 3 4 5 6 7 8 9 P ( X = x ) .07 .09 .35 .25 .15 .03 .02 .02 .01 .01 a. Compute μ = E ( X ) , and interpret the result. [ hinT: See Example 3.] b. Which is larger: P ( X < μ ) or P ( X > μ ) ? Interpret the result.
Solution Summary: The author calculates the value of mu =E(X) and interprets it from the relative frequency table.
Video Arcades Your company, Sonic Video, Inc., has conducted research that shows the following probability distribution, where X is the number of video arcades in a randomly chosen city with more than 500,000 inhabitants:
x
0
1
2
3
4
5
6
7
8
9
P
(
X
=
x
)
.07
.09
.35
.25
.15
.03
.02
.02
.01
.01
a. Compute
μ
=
E
(
X
)
, and interpret the result. [hinT: See Example 3.]
b. Which is larger:
P
(
X
<
μ
)
or
P
(
X
>
μ
)
? Interpret the result.
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Discrete Distributions: Binomial, Poisson and Hypergeometric | Statistics for Data Science; Author: Dr. Bharatendra Rai;https://www.youtube.com/watch?v=lHhyy4JMigg;License: Standard Youtube License