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Marina CMI [18]
2 years ago
7

The company’s cost of manufacturing a single 1-inch binder is $0.25. What is the expected profit (in dollars) that the company w

ill make, per customer, for 1-inch binder sales during the promotion? The expected profit is 1.25
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?
Mathematics
1 answer:
pav-90 [236]2 years ago
4 0

It should be noted that the mean and the standard deviation of the data given in will be 4.26 and 1.1011 respectively.

<h3>How to solve the mean.</h3>

From the complete information, the mean will be calculated as:

= (0.02 × 1) + (0.09 × 2) + (0.12 × 3) + (0.15 × 4) + (0.62 × 5)

E(X) = 4.26

The standard deviation will be calculated thus:

E(X²) = (0.02 × 1²) + (0.09 × 2²) + (0.12 × 3²) + (0.15 × 4²) + (0.62 × 5²)

E(X²) = 19.36

The standard deviation will then be the difference between the square root of 19.36 and 4.26². This will be 1.1011.

The expected profit of the company will be:

= 0.75 × E(X)

= 0.75 × 4.26

= $3.20

The mean of the total number of binders purchased will be:

= 4.26 + 2.74 = 7

The standard deviation will be 1.6658.

Lastly, the total expected profit will be:

= 0.75E(X) + 1.45E(Y)

= 0.75(4.26) + 1.45(2.74)

= 3.195 + 3.973

= 71.68

Learn more about standard deviation on:

brainly.com/question/24298037

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