Find the standard deviation of the amount

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Phone bill. Lucas calls his girlfriend Margaret every day on his cell phone. The time X, in hours, that they talk in a day is Uniformly distributed between 0 and 2. Lucas pays $2 per hour that he is on the phone, plus a flat rate of $5 per day. So Y = 2X + 5 is the size of his bill per day.

a. Find the probability that he spends more than $6 on a given day for his cell phone service.

b. Find the expected amount that he spends on a given day for his cell phone service.

c. Find the standard deviation of the amount that he spends on a given day for his cell phone service.

Reference no: EM131400581

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