# Question: The ATM at a local convenience store allows customers to

The ATM at a local convenience store allows customers to make withdrawals of $10, $20, $50, or $100. Let X denote a random variable that indicates the amount withdrawn by a customer. The probability distribution of X is

P (10) = 0.2

P (20) = 0.5

P (50) = 0.2

P (100) = 0.1

(a) Draw the probability distribution of X.

(b) What is the probability that a customer withdraws more than $20?

(c) What is the expected amount of money withdrawn by a customer?

(d) The expected value is not a possible value of the amount withdrawn. Interpret the expected value for a manager.

(e) Find the variance and standard deviation of X.

P (10) = 0.2

P (20) = 0.5

P (50) = 0.2

P (100) = 0.1

(a) Draw the probability distribution of X.

(b) What is the probability that a customer withdraws more than $20?

(c) What is the expected amount of money withdrawn by a customer?

(d) The expected value is not a possible value of the amount withdrawn. Interpret the expected value for a manager.

(e) Find the variance and standard deviation of X.

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