Question

Use the following information for the next two problems. Harris Company is evaluating the introduction of...

Use the following information for the next two problems. Harris Company is evaluating the introduction of a new product. The possible levels of unit sales and the probabilities are: Possible Market Reaction Sales in Units Probabilities Low response...................... 40 .20 Moderate response............... 60 .30 High response...................... 80 .50 What is the expected value of unit sales for the new product? What is the standard deviation of unit sales?

Homework Answers

Answer #1

The expected value of unit sales for the new product

Expected value of unit = Sum(Number of units x Probability)

= (40 Units x 0.20) + (60 Units x 0.30) + (80 Units x 0.50)

= 8 Units + 18 Units + 40 Units

= 66 Units

Standard deviation of unit sales

Firstly, Calculate the Variance of the units

Variance = [(40 - 66)2 x 0.20] + [(60 - 66)2 x 0.30] +[(80 - 66)2 x 0.50]

= [676 x 0.20] + [36 x 0.30] + 196 x 0.50]

= 135.20 + 10.80 + 98

= 244 Units

Standard Deviation = (244)1/2 or the Square Roof of 244

= 15.62 Units

“Therefore, the Standard deviation of unit sales would be 15.62 Units”

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