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.
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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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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