Discrete Probability Distribution

# Discrete Probability Distribution - Discrete Probability...

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Discrete Probability Distribution 1. A bank recorded the number of ATM transactions made by its customers in one day. The number x of daily ATM transactions per customer can be approximated by the following probability distribution. x P(x) 0 .22 1 .30 2 .20 3 .12 4 .09 5 .07 (i) (3 points) Calculate the expected number of ATM transactions per customer μ. (ii) (5 points) Calculate the variance and the standard deviation of the number of ATM transactions per customer. 2. A volunteer ambulance service handles zero to three service calls on any given day. The probability distribution for the number of service calls is as follows: X: the number of service calls Probability 0 .15 1 .25 2 .40 3 .20 (i) What is the mean number of service calls per day (ii) What is the variance of the number of service calls? (iii) What is the standard deviation of the number of service calls? (iv) Compute the coefficient of variation of the number of service calls.

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3. The manager of a computer repair center in Trenton, New Jersey. has read an advertisement from a local competitor that guarantee. His past service records are used to
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