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 P(X = x) 0 1 2 0.04 0.12 0.40 0.20 (a) Compute μ = E(X). HINT [See Example 3.] E(X) = (b) Find P(X < μ) or P(X> µ). P(x μ) 3 4 5 6 0.15 0.03 0.02 7 8 9 0.02 0.01 0.01 Interpret the result. There are, on average, this many video arcades in a city with more than 500,000 inhabitants. 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.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.4: Expected Value
Problem 1E: If a game gives payoffs of $10 and $100 with probabilities 0.9 and 0.1, respectively, then the...
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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
P(X = x)
0
1
2
0.04 0.12 0.40 0.20
(a) Compute μ = E(X). HINT [See Example 3.]
E(X) =
(b) Find P(X < μ) or P(X> μ).
P(x < μ) =
P(x > μ)
3
4
5
6
7
8
9
0.15 0.03 0.02 0.02 0.01 0.01
Interpret the result.
There are, on average, this many video arcades in a city with more than 500,000 inhabitants.
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.
Transcribed Image Text: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 P(X = x) 0 1 2 0.04 0.12 0.40 0.20 (a) Compute μ = E(X). HINT [See Example 3.] E(X) = (b) Find P(X < μ) or P(X> μ). P(x < μ) = P(x > μ) 3 4 5 6 7 8 9 0.15 0.03 0.02 0.02 0.01 0.01 Interpret the result. There are, on average, this many video arcades in a city with more than 500,000 inhabitants. 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.
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