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This Question: 1 pt The foli0ingprobabity distrbution was cctared i, a sandwich

ID: 3322431 • Letter: T

Question

This Question: 1 pt The foli0ingprobabity distrbution was cctared i, a sandwich shop. The radon varatm x seseras the nuroer or was obtained in a sandwich shop. T hamburger Use the probuability distribution table below to find the mean and standard deviation for the random variablex Px) 030 0.40 020 006 04 O A. The mean is 1.54 The standard deviation s 1.30 O B. The mean is 1.30. The standard deviation is 2.38 O C. The mean is 1.14. The standard deviation is 1.04 00· The mean s 130. The sar ard deviation 154. Click to select your answer

Explanation / Answer

E(X) = 0 * 0.3 + 1 * 0.4 + 2 * 0.2 + 3 * 0.06 + 4 * 0.04 = 1.14

E(X2) = 02 * 0.3 + 12 * 0.4 + 22 * 0.2 + 32 * 0.06 + 42 * 0.04 = 2.38

Variance = E(X2) - (E(X)) 2= 2.38 - 1.142 = 1.0804

Standard deviation = sqrt(1.0804) = 1.039

Option-C)

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