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The average number of miles driven on a full tank of gas in a certain model car before its low-fuel light comes on is 373.

The average number of miles driven on a full tank of gas in a certain model car before its low-fuel light comes on is

373.

Assume this mileage follows the normal distribution with a standard deviation of

30

miles. Complete parts a through d below.

a. What is the probability that, before the low-fuel light comes on, the car will travel less than

390

miles on the next tank of gas?

nothing

(Round to four decimal places as needed.)

b. What is the probability that, before the low-fuel light comes on, the car will travel more than

346

miles on the next tank of gas?

nothing

(Round to four decimal places as needed.)

c. What is the probability that, before the low-fuel light comes on, the car will travel between

323

and

343

miles on the next tank of gas?

nothing

(Round to four decimal places as needed.)

d. What is the probability that, before the low-fuel light comes on, the car will travel exactly

346

miles on the next tank of gas?

nothing

(Round to four decimal places as needed.)

B.

One season, the average little league baseball game averaged

2

hours and

31

minutes

(151

minutes) to complete. Assume the length of games follows the normal distribution with a standard deviation of

17minutes.

Complete parts a through d below.

a.

What is the probability that a randomly selected game will be completed in less than

140

minutes?

The probability that a randomly selected game will be completed in less than

140

minutes is

nothing.

(Round to four decimal places as needed.)

b.

What is the probability that a randomly selected game will be completed in more than

140

minutes?

The probability that a randomly selected game will be completed in more than

140

minutes is

nothing.

(Round to four decimal places as needed.)

c.

What is the probability that a randomly selected game will be completed in exactly

140

minutes?

The probability that a randomly selected game will be completed in exactly

140

minutes is

nothing.

(Round to four decimal places as needed.)

d. What is the completion time in which

97.5%

of the games will be finished?

About

97.5%

of the games will be finished in

nothing

minutes or less.

(Round to two decimal places as needed.)

C.

Which of these experiments does not generate a continuous random variable?

A.

recording the number of minutes a customer waits on hold for technical support

B.

measuring the number of ounces of soda in a bottle

C.

recording the number of miles traveled between two locations

D.

counting the number of customers who enter a store during the business day

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