Question

Find the mean, the variance, and the standard deviation of the given probability distribution.

The random variable X is the number of shoes sold by a retail sales associate in a single month at the Shoe Stop Alley.

x | P(x) |

1 | 0.12 |

2 | 0.27 |

3 | 0.38 |

4 | 0.14 |

5 | 0.09 |

A. Can you determine based on the table above if it is a probability distribution?

B. If it is, find the mean.

C. If it is, find the variance.

D.If it is, find the standard deviation.

Answer #1

Find the mean, variance, and standard deviation of the random
variable having the probability distribution given in the following
table. (Round your answers to four decimal places.)
Random variable, x
-7
-6
-5
-4
-3
P(X = x)
0.13
0.16
0.4
0.15
0.16

From the probability distribution given below, find the mean,
variance, standard deviation and expected value of the random
variable, X. Round your values for variance and standard deviation
to two decimal places (if necessary).
X
27
32
54
63
78
P(X)
5/18
1/4
1/12
2/9
1/6

Find the mean, variance and standard deviation for the
probability distribution given below:
X
0
5
8
10
P(X)
0.598
0.136
0.208
0.058
A. Mean =
B. Variance =
C. Standard Deviation =

Find the mean, variance and standard deviation for the
probability distribution given below:
X: -5, 2, 12, 8,
P(X): 0.575, 0.142, 0.209, 0.074
A. Mean =
B. Variance =
C. Standard Deviation =

Find the mean, variance and standard deviation for the
probability distribution given below:
X
-2
3
12
9
P(X)
0.556
0.109
0.206
0.129
Round to three decimal places.
A. Mean =
B. Variance =
C. Standard Deviation =

Compute the mean and standard deviation of the random variable
with the given discrete probability distribution.
x
Px
−3
0.23
−2
0.15
7
0.25
9
0.27
10
0.1

ASAP
Consider the discrete random variable XX given in the table
below. Calculate the mean, variance, and standard deviation of
XX.
XX
1
10
12
14
15
17
18
P(XX)
0.12
0.14
0.27
0.13
0.1
0.14
0.1
μμ = Incorrect
σ2σ2 = Incorrect
σσ = Incorrect
What is the expected value of X?

**ASAP**
Consider the discrete random variable XX given in the table
below. Calculate the mean, variance, and standard deviation of
XX.
XX
4
5
8
10
13
14
17
P(XX)
0.12
0.29
0.14
0.12
0.09
0.11
0.13
μ =
σ2 =
σ =

Find the missing value required to create a probability
distribution, then find the standard deviation for the given
probability distribution. Round to the nearest hundredth.
x / P(x)
////////
0 / 0.14
1 /
2 / 0.18
3 / 0
4 / 0.09

Determine if the distribution represents a probability
distribution. Then find Mean, Variance, and Standard Deviation. X 6
8 10 12 14 P(x) .25 .10 .30 .10 .25

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