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Prob Stat Normal Distribution

Total questions: 25

Worksheet time: 49mins

Name
Class
Date
1.
What is the the total area under the standard normal distribution curve?
a)
100
b)
25
c)
.5
d)
1
2.
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.
3.
What is the the total area under the standard normal distribution curve?
a)
100
b)
25
c)
.5
d)
1
4.
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.
5.

Students pass a test if they score 50% or more.


The marks of a large number of students were sampled and the mean and standard deviation were calculated as 42% and 8% respectively.


Assuming this data is normally distributed, what percentage of students pass the test? in percentage...

a)

5

b)

16

c)

24

d)

32

6.

The ages of the population of people living in Meru area in Ipoh are Normally distributed with mean 43 and standard deviation 14


The town has a population of 5,000.

How many would you expect to be aged between 22 and 57?


You can use this Standard Normal Distribution curve:

a)

1750

b)

3860

c)

3870

d)

4330

7.

68% of the marks in a test are between 51 and 64

Assuming this data is normally distributed, what are the mean and standard deviation?

a)

Mean = 57

S.D. = 6.5

b)

Mean = 57

S.D. = 7

c)

Mean = 57.5

S.D. = 6.5

d)

Mean = 57.5

S.D. = 13

8.

Given a mean of 75 and a standard deviation of 7, what percentage of scores are between 75 and 82?

a)

68%

b)

81.5%

c)

16%

d)

34%

9.

Given a mean of 75 and a standard deviation of 7, what percentage of scores are above 82?

a)

34%

b)

81.5%

c)

16%

d)

2.5%

10.

Given a mean of 75 and a standard deviation of 7, what percentage of scores are between 54 and 96?

a)

34%

b)

99.7%

c)

95%

d)

2.5%

11.

If the value we are looking for is smaller than the mean, the value of z is:

a)

Not enough information

b)

Negative

c)

Positive

d)

0

12.

If the value we are looking for is the same as the mean, the value of z is:

a)

Not enough information

b)

Positive

c)

Negative

d)

0

13.

Which statement is valid?

a)

None of the options

b)

Probability = -0.89

c)

Probability = 1.89

d)

Probability = 1

14.

What's the probability of the gray area?

(Mean = 55, Standard dev = 2.5)

a)

0.8185

b)

0.8413

c)

0.8641

d)

0.8389

15.
What shape is a normal distribution curve?
a)
Half curve
b)
Round curve
c)
Bell curve
d)
Square curve
16.
According to the empirical rule, what percentage of data falls within 1 standard deviation? 
a)
25%
b)
68%
c)
95%
d)
99.7%
17.
According to the empirical rule, how much of the data falls within 3 standard deviations? 
a)
25%
b)
68%
c)
95%
d)
99.7%
18.
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
19.
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?
a)
68%
b)
34%
c)
16%
d)
2.5%
20.
What is the the total area under the standard normal distribution curve?
a)
100
b)
25
c)
.5
d)
1
21.

Which is NOT true about the normal distribution curve?

a)

It is bell-shaped.

b)

The mean, median, and mode are approximately equal

c)

The smaller the standard deviation, the less spread in the curve.

d)

It is asymmetrical.

22.
1.  Which best describes the shaded part of this normal distribution graph?  
a)
All data that is one or higher.
b)
All data that is one or more standard deviations above the mean.
c)
All data that is between 1 and 3.
d)
All data that is above the mean.
23.
What does the mean tell you about a data set
a)
It tells you the number that occurs the most
b)
It is the difference between the highest and lowest number
c)
It tells you the average of the data set
d)
It tells you how mad someone is at another persom
24.

The marks obtained by the students are normally distributed with mean 61 marks and variance 100 marks. Find the probability of the students obtain at least 85 marks.

a)

0.4207

b)

0.0082

c)

0.1112

d)

0.9918

25.

A continuous random variable is normally distributed with mean 145 and standard deviation is 5. Find P(136<X<140).

a)

0.8054

b)

0.8772

c)

0.1228

d)

0.1587

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