Question 12 12. Let X be the quantity of cell phone minutes my family uses each

Question

Question 12 12. Let X be the quantity of cell phone minutes my family uses each month. From past history, I know that X has the probability density function below f(x) = 2or 0600 60,000600 In months where my family uses more minutes, my cell phone company charges me less per minute. Specifically, the monthly cost function, C(x), in dollars with respect to the number of minutes, r, used each month is C(r) = 2x1/2 What is the expected cost of my family using the cell phone in a month? (round to nearest dollar) a) $35 b) $34 c) S30 d) $28 e) None of the answers is correct to the nearest dollar Question 13 13. A soft-drink machine is regulated to discharge an average of 200 milliliters per cup. If the amount of drink is normally distributed with a standard deviation of 15 milliliters what is the probability that a cup contains between 191 and 209 milliliters? a) 0.4514 b) 0.4806 c) 0.7257 d) 0.5486 e) None of the answers is correct to the fourth decimal place.

Explanation / Answer

We are allowed to do 1 question at a time. Post again for second question.

13) Mean = 200

SD = 15

z1 = (191 - 200)/15

z1 = - 0.6

z2 = 9/15 = 0.6

P(- 0.6 < z < 0.6) = 0.4515

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