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12. [0.49/1 Points] DETAILS PREVIOUS ANSWERS WANEFMAC7 9.3.034.MI. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER 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 2 3 4 5 6 7 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, on average, this many video arcades in a 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 at least this many video arcades in each city with more than 500,000 inhabitants. O There are at most this many video arcades in each city with more than 500,000 inhabitants. (b) Find P(X /). P ( X H ) = Interpret the result. The P(x > /) is less than P(x