Question

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

Answer #1

Solution:

x | P(x) | x * P(x) | x2 * P(x) |

-41 | 0.29 | -11.89 | 487.49 |

-27 | 0.35 | -9.45 | 255.15 |

-8 | 0.21 | -1.68 | 13.44 |

-3 | 0.15 | -0.45 | 1.35 |

Sum | 1 | -23.47 | 757.43 |

Mean = X * P(X)

= **-23.47**

Variance =

= X 2 * P(X) - 2

= 757.43 - (-23.47)2 = **206.5891**

Standard deviation =
= **14.3732**

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

Given the following discrete probability distribution, calculate
the variance of the random variable X. Round your answer to 2
significant places after the decimal.
x P(x)
-2 0.15
3 0.43
5 0.16
6 0.26

Consider the discrete probability distribution below. Mean of
this discrete probability distribution is _____________. Round to
one decimal place.
x
P ( x )
1
0.22
2
0.27
3
0.30
4
0.21

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

Consider the following table:
Stock
Fund
Bond Fund
Scenario
Probability
Rate of
Return
Rate of
Return
Severe recession
0.10
−32%
−17%
Mild recession
0.15
−22%
15%
Normal growth
0.35
14%
6%
Boom
0.40
35%
4%
a. Calculate the values of mean return and
variance for the stock fund. (Do not round intermediate
calculations. Round "Mean return" value to 1 decimal place and
"Variance" to 4 decimal places.)
Mean return
%
Variance
b. Calculate the value of the covariance between
the...

Consider the following table:
Stock Fund
Bond Fund
Scenario
Probability
Rate of Return
Rate of Return
Severe recession
0.10
−32%
−10%
Mild recession
0.15
−10.0%
6%
Normal growth
0.35
22%
10%
Boom
0.40
37%
−7%
a. Calculate the values of mean return and
variance for the stock fund. (Do not round intermediate
calculations. Round "Mean return" value to 1 decimal place and
"Variance" to 4 decimal places.)
Mean return
%
Variance
%-Squared
b. Calculate the value of the covariance between...

Using the formulas for the mean and standard deviation of a
discrete random variable, calculate to 2 decimal places the mean
and standard deviation for the population probability distribution
of the table below.
x
P(x)
69
0.20
79
0.22
81
0.35
98
0.23
μ =
σ =

Consider the following table:
Stock
Fund
Bond Fund
Scenario
Probability
Rate of
Return
Rate of
Return
Severe recession
0.10
?37%
?9%
Mild recession
0.20
?11%
15%
Normal growth
0.35
14%
8%
Boom
0.35
30%
?5%
a. Calculate the values of mean return and
variance for the stock fund. (Do not round intermediate
calculations. Round "Mean return" value to 1 decimal place and
"Variance" to 2 decimal places.)
Mean return =
%
Variance =
b. Calculate the value of the covariance...

In each of the following cases, find the mean, variance, and
standard deviation of the sampling distribution of the sample
proportion .
(a) p = .5, n = 259 (Round variance to 6 decimal places and
standard deviation to 4 decimal places. Do not round intermediate
values.)
(b)
p = .2, n = 124 (Round variance to 6
decimal places and standard deviation to 4 decimal places. Do not
round intermediate values.)
(c)
p = .8, n = 388
(Round...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 1 minute ago

asked 4 minutes ago

asked 17 minutes ago

asked 19 minutes ago

asked 26 minutes ago

asked 36 minutes ago

asked 43 minutes ago

asked 46 minutes ago

asked 47 minutes ago

asked 53 minutes ago

asked 54 minutes ago

asked 1 hour ago