Z = 280 – 250/ 25= 30/25 = 1.2 Z = 1.2 This suggest that the average distributio

Question

Z = 280 – 250/ 25= 30/25 = 1.2

Z = 1.2

This suggest that the average distribution of boats per a month is 250 with the standard deviation of 25 boats. Therefore, the sale will be less than 280 is 88.4% at best chance.

T1.4 Refer to Problem T1.3. What is the probability that sales will be more than 265 boats during the next month? What is the probability that sales will be under 250 boats next month?

P(265> x) = P(0.6 > z) = .72575 or 72.5%.

Z = 265 - 250/ 25 = 0.6

Z= 250 – 250/ 25= 0.0 or 0.0%.

P(x <250) = P( 250<z)= 0.5

I wanted to check to see if I did this part right.

Explanation / Answer

Your first answer is correct.

In the second problem 72.57% is the probability of sales will be less than 265 boats. For calculating probability of sales greater than 265, we need to subtract the probability from 1.

Probability of sales being greater than 265 units = 1- 0.7257

                                                                                                = 27.43%

For the last part 0.50 or 50% is correct.

Good luck.

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