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Chapter 6: Q.6.62 (page 389)

The length of time to find it takes to find a parking space at 9 A.M. follows a normal distribution with a mean of five minutes and a standard deviation of two minutes. If the mean is significantly greater than the standard deviation, which of the following statements is true?

I. The data cannot follow the uniform distribution.

II. The data cannot follow the exponential distribution..

III. The data cannot follow the normal distribution.

a. I only

b. II only

c. III only

d. I, II, and III

Short Answer

Expert verified

The correct answer is option (b)that is "The data cannot follow the exponential distribution.. "

Step by step solution

01

Given information

Normal distribution with a mean of five minutes and a standard deviation of two minutes.

The mean is significantly greater than the standard deviation.

02

Solution

For exponential distribution, it is comprehended that the value of the mean is equivalent to the value of standard deviation. So, this kind of data can't follow the exponential distribution. Therefore, the option (b) is correct.

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