A study conducted by a TV station showed the number oftelevisions per household

Question

A study conducted by a TV station showed the number oftelevisions per household and the corresponding probabilities foreach. Find the mean, variance, and standard deviation. Number of televisionsX              1          2            3             4 Probability P(X)     0.32      0.51       0.12        0.05 If you were taking a survey on the programs that were watchedon television, how many program diaries would you send to eachhousehold in the survey? A study conducted by a TV station showed the number oftelevisions per household and the corresponding probabilities foreach. Find the mean, variance, and standard deviation. Number of televisionsX              1          2            3             4 Probability P(X)     0.32      0.51       0.12        0.05 If you were taking a survey on the programs that were watchedon television, how many program diaries would you send to eachhousehold in the survey?

Explanation / Answer

televisions X 1 2 3 4 ProbabilityP(X)   0.32 0.51 0.12 0.05 XP(X) 0.32 1.02 0.36 0.2 X2P(X) 0.32 2.04 1.08 0.8 mean = = [XP(X)] = 1.9 variance = 2 = [X2P(X)]- µ2 = 4.24 -3.61 = 0.63 hence standard deviation, = 0.63 =0.794

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