Question

In: Statistics and Probability

Exhibit 3 The amount of time the car has to wait at a particular stoplight is...

Exhibit 3

The amount of time the car has to wait at a particular stoplight is normally distributed with the mean and the standard deviation of 61 seconds and 9 seconds, respectively. A random sample of 25 cars passing through this stoplight was taken.

Question 14

Refer to Exhibit 3. What is the probability that the next car has to wait more than 36 seconds but less than 52 seconds at the stoplight? (Round to the nearest four decimal place.

Question 15

Refer to Exhibit 3. 61.9 percent of the cars has to wait at most X seconds before the stoplight change to green. What is the value of X? (Round to the nearest four decimal place.

Question 16

Refer to Exhibit 3. What is the probability that the random sample of 25 cars mentioned in the Exhibit has a mean waiting time more than 56 seconds? (Round to the nearest four decimal place.)

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