A company that sells binders decides to run a promotion on their 1-inch and 2-inch size binders. They discount the 1-inch binders to $1 per binder and discount the 2-inch binders to $2 per binder. They limit sales to a quantity of 5 of each size of binder per customer. The probability distribution of “X = the number of 1-inch binders purchased by a single customer during the promotion period” is given in the table below. X 1 2 3 4 5 P(X) 0.02 0.09 0.12 0.15 0.62 a) Compute the mean and standard deviation of X. b) The company’s cost of manufacturing a single 1-inch binder is $0.25. What is the expected profit (in dollars) that the company will make, per customer, for 1-inch binder sales during the promotion? c) The mean and standard deviation of “Y = the number of 2-inch binders purchased by a single customer” is 2.74 and 1.25, respectively. Assume that the number of 1-inch and 2-inch binders purchased are independent random variables. What are the mean and standard deviation of the total number of binders purchased by a single customer?
A company that sells binders decides to run a promotion on their 1-inch and 2-inch size binders. They
discount the 1-inch binders to $1 per binder and discount the 2-inch binders to $2 per binder. They limit
sales to a quantity of 5 of each size of binder per customer. The probability distribution of “X = the number
of 1-inch binders purchased by a single customer during the promotion period” is given in the table below.
| X | 1 | 2 | 3 | 4 | 5 |
| P(X) | 0.02 | 0.09 | 0.12 | 0.15 | 0.62 |
a) Compute the mean and standard deviation of X.
b) The company’s cost of manufacturing a single 1-inch binder is $0.25. What is the expected profit (in
dollars) that the company will make, per customer, for 1-inch binder sales during the promotion?
c) The mean and standard deviation of “Y = the number of 2-inch binders purchased by a single
customer” is 2.74 and 1.25, respectively. Assume that the number of 1-inch and 2-inch binders
purchased are independent random variables. What are the mean and standard deviation of the total
number of binders purchased by a single customer?
d) The company’s cost of manufacturing a single 2-inch binder is $0.55. What is the total expected profit
(in dollars) that the company will make, per customer, during the promotion?
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