Question

2.The random variable X has the probability distribution table shown below. Calculate the standard deviation rounded to the four decimal places.

x −1 0 4 10

P(X = x) 0.2 0.3 0.3 0.2

Answer #1

Solution :

Mean = = X * P(X)

= -1 * 0.2 + 0 *0.3 +4 *0.3 + 10*0.2

= ( - 0.2+ 0+ 1.2 +2 )

= 3

Standard deviation =

=X 2 * P(X) - 2

= [ -12 * 0.2 + 02 *0.3 +4 2*0.3 + 102*0.2]-32

= [( -0.2+ 0 +4.8 +20 ) )]-9

= 24.6-9

=15.6

=3.9497

Standard deviation = =3.9497

A random variable has the probability distribution table as
shown. Calculate P(X≤1).
x -3 | -2 | -1 | 0 | 1
P (X = x) | - | - | 0.3 | 0.1 | 0.1

A random variable x has the following probability distribution.
Determine the standard deviation of x.
x
f(x)
0
0.05
1
0.1
2
0.3
3
0.2
4
0.35
A random variable x has the following probability distribution.
Determine the expected value of x.
x
f(x)
0
0.11
1
0.04
2
0.3
3
0.2
4
0.35
QUESTION 2
A random variable x has the following probability distribution.
Determine the variance of x.
x
f(x)
0
0.02
1
0.13
2
0.3
3
0.2...

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

The following table denotes the probability distribution for a
discrete random variable X.
x
-2
0
1
2
9
p(x)
0.1
0.3
0.2
0.3
0.1
The standard deviation of X is closest to
Group of answer choices
3.74
4.18
2.77
7.65
11

Assume the random variable X has a binomial distribution with
the given probability of obtaining a success. Find the following
probability, given the number of trials and the probability of
obtaining a success. Round your answer to four decimal places.
P(X>4), n=7, p=0.4
Find the standard deviation of the following data. Round your
answer to one decimal place.
x
1
2
3
4
5
6
P(X=x)
0.1
0.1
0.2
0.1
0.2
0.3

Let the random variable X have the probability distribution
listed in the table below. Determine the probability distributions
of the random variable left parenthesis Upper X plus 1 right
parenthesis squared. k ?Pr(Xequals?k) 0 0.2 1 0.2 2 0.2 3 0.3 4 0.1
Fill in the table for the probability distribution of the variable
left parenthesis Upper X plus 1 right parenthesis squared. k
?Pr(left parenthesis Upper X plus 1 right parenthesis
squaredequals?k) 1 nothing 4 nothing 9 nothing 16...

Calculate the standard deviation σ of X for
the probability distribution. (Round your answer to two decimal
places.)
σ =
x
0
1
2
3
P(X =
x)
0.1
0.2
0.3
0.4

Find the mean and standard deviation of the random variable X
with the following distribution:
X 0 1 2 3 4
Probability 0.1 0.2 0.3 0.3 0.1
I.
1.8, 1.29
II.
1.00, 1.00
III.
2.1, 1.135
IV.
2.1, 1.29

Let x be a discrete random variable with the following
probability distribution
x: -1 , 0 , 1, 2
P(x) 0.3 , 0.2 , 0.15 , 0.35
Find the mean and the standard deviation of x

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...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 6 minutes ago

asked 6 minutes ago

asked 11 minutes ago

asked 51 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago