WorksheetsNormal distribution
Total questions: 15
Worksheet time: 3hrs 30mins
A bank's loan officer rates applicants for credit. The ratings can be described by a Normal model with a mean of 200 and a standard deviation of 50. What percentage ratings can be expected to be between 200 and 275?
43.31%
56.71%
38.61%
29.87%
The lengths of human pregnancies can be described by a Normal model with a mean of 268 days and a standard deviation of 15 days. What percentage of pregnancies will last at least 300 days?
1.64%
98.36%
12.34%
56.19%
A town's average snowfall is 48 inches per year with a standard deviation of 6 inches. Using a Normal model, what values should border the middle 50% of the model?
44 and 52 inches
42 and 54 inches
40 and 50 inches
40 and 60 inches
For a recent English exam, the mean was 73 points and the standard deviation was 9.2 points. Find the percent of scores over 85.
9.61%
90.39%
28.51%
75.31%
A standardized test has scores that can be described by a Normal model with a mean score was 100 points and a standard deviation of 10 points. What score is at the 25th percentile?
93.26
106.74
90.32
80
A town has a speed limit of 45 mph. If the speeds of cars traveling in the town can be described by a Normal model with a mean of 48 mph and a standard deviation of 3.5 mph, what percent of cars are exceeding the speed limit?
80.43%
19.56%
23.86%
75%
A town's average snowfall is 48 inches per year with a standard deviation of 6 inches. Using a Normal model, what percent of snow fall amounts will be between 40 and 50?
53.93%
46.07%
37.19%
72.34%
A bank's loan officer rates applicants for credit. The ratings can be described by a Normal model with a mean of 200 and a standard deviation of 50. What is the rating which cuts off the bottom 20%?
157.92
242.08
189.34
190.60
In a survey of men in the United States (ages 20-29), the mean height was 69.6 inches with a standard deviation of 3.0 inches. Find the minimum height in the top 17.5% .
69.98 in
71.18 in
72.40 in
73.01 in
Suppose a male long jumper's jump ranked in the 75th percentile. How long was his jump?
Suppose the amount of soda in a can is normally distributed; the mean is 16 oz and standard deviation is 0.4 oz. How much soda is in the heaviest 3% of cans?
≈16.97 oz
≈16.75 oz
≈16.45 oz
≈16.30 oz
Alex's baby was in the 96th percentile for height when she was born. Given σ = 2 inches, and µ = 20 inches, how long was Alex's baby when she was born?
23.5 inches
20.15 inches
17.45 inches
37 inches
Snobby University accepts only those graduate students who score in the top 5% of the GRE (Graduate Requirements Exam).
Given that µ = 151.3 and σ = 8.7, what is the lowest score you can get and still be accepted to SU? Round to the nearest whole number.
165
166
170
162
