Probability Distribution for the Variable X
0.45
0.4
0.35
Probability
0.3
0.25
0.2
0.15
0.1
0.05
0
1
2
3
4
5
X
A.
B.
C.
D.
E.
F.
Is this a symmetric probability distribution?
What is the median value of X?
What is the mean value of X?
What is P(2≤X≤4)?
What is P(X>4)?
Calculate the variance and standard deviation of X.
Answers
Probability Distribution of the Variable X
Probability
0.4
0.3
0.2
0.1
0
1
2
3
X
A.
B.
C.
D.
E.
F.
Is this a symmetric probability distribution?
What is the median value of X?
What is the mean value of X?
What is P(2≤X≤4)?
What is P(X>4)?
Calculate the variance and standard deviation of X.
4
5
Probability Distribution for the Variable X
0.45
0.4
0.35
Probability
0.3
0.25
0.2
0.15
0.1
0.05
0
1
2
3
X
A. Is this a symmetric probability distribution? Yes
B. What is the median value of X? 3
C. What is the mean value of X? 3
D. What is P(2≤X≤4)? 90
E. What is P(X>4)? .05
F. Calculate the variance and standard deviation of X.
Variance is .9; Standard Deviation is .95
4
5
Probability Distribution of the Variable X
Probability
0.4
0.3
0.2
0.1
0
1
2
3
X
A. Is this a symmetric probability distribution? Yes
B. What is the median value of X? 3
C. What is the mean value of X? 3
D. What is P(2≤X≤4)? .60
E. What is P(X>4)? .20
F. Calculate the variance and standard deviation of X.
Variance is 2; Standard Deviation is 1.41
4
5