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) 0.06 0.10 0.35 0.25 0.15 0.03 0.02 0.02 0.01 0.01 (a) Compute ? = E(X). HINT [See Example 3.] E(X) = Interpret the result. There are at most this many video arcades in each city with more than 500,000 inhabitants.There are at least this many video arcades in each city with more than 500,000 inhabitants. This is the most frequently observed number of video arcades in cities with more than 500,000 inhabitants.There are, on average, this many video arcades in a city with more than 500,000 inhabitants. (b) Find P(X < ?) or P(X > ?). P(x < ?) = P(x > ?) = Interpret the result. The P(x > ?) is ---Select--- greater than less than P(x < ?). Thus, most cities have ---Select--- more than less than the average number of video game 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) 0.06 0.10 0.35 0.25 0.15 0.03 0.02 0.02 0.01 0.01 (a) Compute ? = E(X). HINT [See Example 3.] E(X) = Interpret the result. There are at most this many video arcades in each city with more than 500,000 inhabitants.There are at least this many video arcades in each city with more than 500,000 inhabitants. This is the most frequently observed number of video arcades in cities with more than 500,000 inhabitants.There are, on average, this many video arcades in a city with more than 500,000 inhabitants. (b) Find P(X < ?) or P(X > ?). P(x < ?) = P(x > ?) = Interpret the result. The P(x > ?) is ---Select--- greater than less than P(x < ?). Thus, most cities have ---Select--- more than less than the average number of video game arcades.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
Topic Video
Question
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)
|
0.06 | 0.10 | 0.35 | 0.25 | 0.15 | 0.03 | 0.02 | 0.02 | 0.01 | 0.01 |
(a)
Compute ? = E(X). HINT [See Example 3.]
E(X) =
Interpret the result.
There are at most this many video arcades in each city with more than 500,000 inhabitants.There are at least this many video arcades in each city with more than 500,000 inhabitants. This is the most frequently observed number of video arcades in cities with more than 500,000 inhabitants.There are, on average, this many video arcades in a city with more than 500,000 inhabitants.
(b)
Find
P(X < ?) or P(X > ?).
P(x < ?)
=
P(x > ?)
=Interpret the result.
The
P(x > ?)
is ---Select--- greater than less than
P(x < ?).
Thus, most cities have ---Select--- more than less than the average number of video game arcades.Expert Solution
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