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WorksheetsSpecial Probability Distribution
Total questions: 30
Worksheet time: 1hrs 11mins
Name
Class
Date
1.
Which of the following is not true of the normal distribution
a)
The curve is bell shape
b)
The curve approaches the x-axis gradually on either side of the mean
c)
The distribution is symmetrical about the vertical line drawn from the peak of the curve
d)
The curve is symmetrical
2.
Is this a probability distribution?
a)
No
b)
Yes
3.
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 22%.
a)
69.37 in
b)
67.58 in
c)
73.12 in
4.
The 40 yards sprint times for a soccer team are found to be normally distributed with a mean of 5.2 seconds and a standard deviation of 0.3 seconds. What is the z-score for a player who runs a time of 5.6 seconds?
a)
-1.33
b)
1.33
c)
0.88
d)
1.02
5.
The 40 yards sprint times for a soccer team are found to be normally distributed with a mean of 5.2 seconds and a standard deviation of 0.3 seconds. What is the z-score for a player who runs a time of 4.6 seconds?
a)
0.83
b)
1.07
c)
-2
d)
-1.07
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 less than 5 accidents?
a)
0.6915
b)
0.1762
c)
0.8238
d)
-0.93
7.
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?
a)
0.3446
b)
0.2856
c)
0.4
d)
0.6554
8.
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?
a)
81.5%
b)
47.5%
c)
68%
d)
95%
9.
Between what two standard deviations of a normal distribution contain 68% of the data?
a)
one below and one above
b)
two below and two above
c)
two below and zero
d)
zero and two above
10.
The scoring of modern IQ is such that Intelligence Quotients (IQs) have a normal distribution of μ= 100 and 𝞂 = 15.
Mensa International is a non-profit organization that accepts only people with IQ score within the top 2%. What level of IQ qualifies one to be a member of Mensa?
Mensa International is a non-profit organization that accepts only people with IQ score within the top 2%. What level of IQ qualifies one to be a member of Mensa?
a)
115
b)
130.75
c)
145
d)
120
11.
μ = 70 , σ = 8 , X = 50 . Find z score
a)
2.5
b)
-2.5
c)
5.2
d)
-5.2
12.
What is the the total area under the standard normal distribution curve?
a)
100
b)
25
c)
.5
d)
1
13.
The distances male long jumpers for State College jump are approximately normal with a mean of 263 inches and a standard deviation of 14 inches.
Suppose a male long jumper's jump ranked in the 75th percentile. How long was his jump?
Suppose a male long jumper's jump ranked in the 75th percentile. How long was his jump?
a)
0.67 inch
b)
263 inches
c)
272.44 inches
d)
277.25 inches
14.
What is the the total area under the standard normal distribution curve?
a)
100
b)
25
c)
.5
d)
1
15.
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?
About what percent of the products last between 12 and 15 days?
a)
68%
b)
34%
c)
16%
d)
2.5%
16.
Which is NOT true about the standard normal distribution?
a)
It is bell-shaped.
b)
It is unimodal.
c)
The mean is 0 and the standard deviation is 1.
d)
It is asymmetrical.
17.
The mean temperature in Glens Falls for the month of February is 23 degrees with a standard deviation of 4.2 degrees. What is the z-score for a temperature of 17 degrees?
a)
1
b)
1.43
c)
-1.43
d)
11.5
18.
The average waist size for teenage males is 29 inches with a standard deviation of 2 inches.
If waist sizes are normally distributed, determine the z-score of a teenage male with a 33 inch waist.
If waist sizes are normally distributed, determine the z-score of a teenage male with a 33 inch waist.
a)
2
b)
1
c)
-2
d)
-1
19.
What shape is a normal distribution curve?
a)
Half curve
b)
Round curve
c)
Bell curve
d)
Square curve
20.
The distances male long jumpers for State College jump are approximately normal with a mean of 263 inches and a standard deviation of 14 inches.
Suppose a male long jumper's jump ranked in the 75th percentile. How long was his jump?
Suppose a male long jumper's jump ranked in the 75th percentile. How long was his jump?
a)
0.67 inch
b)
263 inches
c)
272.44 inches
d)
277.25 inches
21.
The z-score represents.....
a)
the amount of standard deviations a data value is above or below the mean.
b)
the percentile the data value is above or below the mean.
c)
the amount of standard deviations a data value is above or below the median.
d)
the percent the data value is above or below the mean.
22.
Find the area under the standard normal curve to the right of z = -2.67.
a)
0.0869
b)
0.9962
c)
0.0008
d)
0.1234
23.
Find the cumulative area that corresponds to a z-score of 1.25.
a)
0.89
b)
0.01
c)
0.79
d)
0.12
24.
Annual U.S. per capita orange use: μ =11.4 lb, σ = 3lb. What annual per capita use of oranges represents the 10th percentile?
a)
7.56 lbs
b)
13.42 lbs
c)
8.29 lbs
d)
9.38 lbs
25.
μ = 70 , σ = 8 , X = 50 . Find z score
a)
2.5
b)
-2.5
c)
5.2
d)
-5.2
26.
Find the area of the shaded region.
a)
0.16
b)
0.84
c)
0.68
d)
0.34
27.
Using a z-score table. Fernando is 60 inches tall. The average height for his age and gender is 68 with a standard deviation of 10 inches. What percent of his peers are shorter than him?
a)
46.81%
b)
8%
c)
78.81%
d)
21.19%
28.
Find the area of the shaded region.
a)
0.16
b)
0.84
c)
0.68
d)
0.34
29.
The percentile represents the....
a)
percent of data values that are below.
b)
percent of data values that are above.
c)
number of data values that are below.
d)
number of data values that are below.
30.
Pat and Chris both took a spatial abilities test (mean = 80, std. dev. = 8). Pat scores a 76 and Chris scored a 94. What percent of individuals would score between Pat and Chris?
a)
26.8%
b)
96%
c)
65.1%
d)
4%
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