Question

- 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 |

Answer #1

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 =

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, 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...

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, 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 =

For the probability distribution below find the mean, variance,
and standard deviation.
?
P(?)
?P (?)
?2P(?)
0
0.15
1
0.20
2
0.35
3
0.22
4
0.08
The probability distribution shows the cups of beer American
Adults consume every week. Find the expected value of cups of wine
American Adults consume every week.
?
P(?)
?P(?)
0
0.4
1
0.1
2
0.3
5
0.12
10
0.05

Calculate the mean, the variance, and the standard deviation of
the following discrete probability distribution. (Negative values
should be indicated by a minus sign. Round intermediate
calculations to at least 4 decimal places. Round your final answers
to 2 decimal places.) x −41 −27 −8 −3 P(X = x) 0.29 0.35 0.21
0.15

Calculate the mean, the variance, and the standard deviation of
the following discrete probability distribution. (Negative values
should be indicated by a minus sign. Round intermediate
calculations to at least 4 decimal places. Round your final answers
to 2 decimal places.) x −41 −27 −8 −3 P(X = x) 0.29 0.35 0.21
0.15

(4 pts) Fill in the contingency table below using the following
information:
800 patients are entered into a trial
of a new serum to cure Ebola. The patients are split equally into
two groups, one of which is given the serum and one of which is
not. Of the group given the serum, eighty percent recover, while
only fifty-five percent of those not given the serum recover. Use
this information to calculate the numbers to fill in the table.
Make...

Determine if the distribution represents a probability
distribution. Then find Mean, Variance, and Standard Deviation. X 7
8 9 10 11 P(x) 0.3 0.5 0.1 0.08 0.02

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