Question: Hello, can someone help me solve this problem? Note: You may find the following useful for this problem. For i.i.d. random variables Xi and a
Hello, can someone help me solve this problem?

Note: You may find the following useful for this problem. For i.i.d. random variables Xi and a nonnegative random variable N that is independent of all the Xi's: E l i Va. L X.) Each phone call by All consumes an amount of time that follows an exponential distribution with mean 5 minutes. The number of different phone calls Ali makes on any given day has a Poisson distribution with mean 3. Assume that a single call always falls within a single day (no calls continue past midnight). EiNiEIX M2 3*: || || ,_ M2 E [N] Var [X1] + (E [X1])2Var(N). H H Further, suppose that the number of phone calls that All makes on different days are independent. and that the lengths ofthe phone calls are also independent of each other. For simplicity. also assume that different phone calls never overlap and that there are 30 days in each given month. Let X be the total number of minutes All spends on the phone during one month. Find E (X). Elx) = Find Var (X). Var (X) =
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