*The questions below refer to the following: * The patient recovery time from a particular surgical procedure is normally distributed with a mean of 5.3 days and a standard deviation of 2.1 days.

### Exercise 12

What is the median recovery time?

**A.**2.7**B.**5.3**C.**7.4**D.**2.1

#### Solution

B

### Exercise 13

What is the z-score for a patient who takes 10 days to recover?

**A.**1.5**B.**0.2**C.**2.2**D.**7.3

#### Solution

C

### Exercise 14

What is the probability of spending more than 2 days in recovery?

**A.**0.0580**B.**0.8447**C.**0.0553**D.**0.9420

#### Solution

D

### Exercise 15

The 90th percentile for recovery times is?

**A.**8.89**B.**7.07**C.**7.99**D.**4.32

#### Solution

C

*The questions below refer to the following:* The length of time to find a parking space at 9 A.M. follows a normal distribution with a mean of 5 minutes and a standard deviation of 2 minutes.

### Exercise 16

Based upon the above information and numerically justified, would you be surprised if it took less than 1 minute to find a parking space?

**A.**Yes**B.**No**C.**Unable to determine

#### Solution

A

### Exercise 17

Find the probability that it takes at least 8 minutes to find a parking space.

**A.**0.0001**B.**0.9270**C.**0.1862**D.**0.0668

#### Solution

D

### Exercise 18

Seventy percent of the time, it takes more than how many minutes to find a parking space?

**A.**1.24**B.**2.41**C.**3.95**D.**6.05

#### Solution

C

### Exercise 19

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

#### Solution

B

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