You decide to play K number of video games, where K is a Poisson random variable with parameter A. Assume that time you spend on a video game k = 1, 2, ..., K has a normal distribution with mean µk and variance o. Also assume that Hk >> 0 and ož is small, so that you can neglect negative time values. Let T be the total time you spend on playing video games, compute the mean and variance of T. %3D

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You decide to play K number of video games, where K is a Poisson random variable with parameter A.
Assume that time you spend on a video game k = 1, 2, ..., K has a normal distribution with mean l, and
variance o. Also assume that k >> 0 and o is small, so that you can neglect negative time values. Let
T be the total time you spend on playing video games, compute the mean and variance of T.
Transcribed Image Text:You decide to play K number of video games, where K is a Poisson random variable with parameter A. Assume that time you spend on a video game k = 1, 2, ..., K has a normal distribution with mean l, and variance o. Also assume that k >> 0 and o is small, so that you can neglect negative time values. Let T be the total time you spend on playing video games, compute the mean and variance of T.
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