Quiz about Normal Distributions: Finding Probabilities (5.2)

Question 1

What shape is a normal distribution curve?

Accepted Answer

Bell curve

Answer

Half curve

Answer

Round curve

Answer

Square curve

Question 2

According to the empirical rule, what percentage of data falls within 1 standard deviation?

Accepted Answer

68%

Answer

25%

Answer

95%

Answer

99.7%

Question 3

According to the empirical rule, how much of the data falls within 3 standard deviations?

Accepted Answer

99.7%

Answer

25%

Answer

68%

Answer

95%

Question 4

The mean number of accidents a week at a company is 6.4 with a standard deviation of 1.5.  What proportion of weeks would you expect to have less than 5 accidents?

Accepted Answer

0.1762

Answer

0.6915

Answer

0.8238

Answer

-0.93

Question 5

The average waist size for teenage males is 29 inches with a standard deviation of 1.4 inch.

If waist sizes are normally distributed, estimate the proportion of teenagers who will have waist sizes greater than 31 inches?

Accepted Answer

7.6%

Answer

92.4%

Answer

10.5%

Answer

16%

Question 6

The mean number of accidents a week at a company is 6.4 with a standard deviation of 1.5.  What proportion of weeks would you expect to have more than 7 accidents?

Accepted Answer

0.3446

Answer

0.2856

Answer

0.4

Answer

0.6554

Question 7

The mean GPA of students in a course at UCDavis is 3.2 with a standard deviation of 0.3. What percent of students in the course have a GPA between 2.9 and 3.8?

Accepted Answer

81.5%

Answer

47.5%

Answer

68%

Answer

95%

Question 8

Between what two standard deviations of a normal distribution contain 68% of the data?

Accepted Answer

one below and one above

Answer

two below and two above

Answer

two below and zero

Answer

zero and two above

Question 9

The average waist size for teenage males is 29 inches with a standard deviation of 1.4 inch.

If waist sizes are normally distributed, estimate the proportion of teenagers who will have waist sizes greater than 31 inches?

Accepted Answer

7.6%

Answer

92.4%

Answer

10.5%

Answer

16%

Question 10

The shelf life of a particular dairy product is normally distributed with a mean of 12 days and a standard deviation of 3 days.

About what percent of the products last between 12 and 15 days?

Accepted Answer

34%

Answer

68%

Answer

16%

Answer

2.5%

Normal Distributions: Finding Probabilities (5.2)

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