Question

The probability distribution of a random variable X is given
below.

x |
2 | 4 | 8 | 9 | 10 |

P(X = x) |
^{1}⁄_{26} |
^{5}⁄_{26} |
^{4}⁄_{13} |
^{9}⁄_{26} |
^{3}⁄_{26} |

Given the mean

Find the variance (Var(X)) and the standard deviation, respectively.

Answer #1

formula for mean is

**Mean =
7.576923**

formula for variance is

**Variance =
5.0902**

formula for standard deviation is

**Standard deviation =
2.2562**

The probability distribution of a random variable X is given
below.
x
3
4
6
7
9
P(X = x)
10/29
2/29
6/29
4/29
7/29
Given the following mean
Find the variance (Var(X)) and the standard deviation,
respectively.
a) [5.59, 2.37]
b) [1101.00, 33.18]
c) [1828.91, 42.77]
d) [22.86, 4.78]
e) [44.92, 6.70]

The probability distribution of a random variable X is
given.
x
−4
−2
0
2
4
p(X =
x)
0.2
0.1
0.3
0.2
0.2
Compute the mean, variance, and standard deviation of
X. (Round your answers to two decimal places.)
Find mean, variance, and 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 =

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 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

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...

1. Given a discrete random variable, X , where the
discrete probability distribution for X is given on right,
calculate E(X)
X
P(X)
0
0.1
1
0.1
2
0.1
3
0.4
4
0.1
5
0.2
2. Given a discrete random variable, X , where the
discrete probability distribution for X is given on right,
calculate the variance of X
X
P(X)
0
0.1
1
0.1
2
0.1
3
0.4
4
0.1
5
0.2
3. Given a discrete random variable, X...

Let X be a random variable with the following probability
distribution: Value x of X P=Xx 1 0.15 2 0.55 3 0.05 4 0.15 5 0.10
Find the expectation EX and variance Var X of X .

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