Question

Consider the probability distribution shown below.

x 0 1 2

P(x) 0.05 0.20 0.75

Compute the expected value of the distribution.

Compute the standard deviation of the distribution. (Round your answer to four decimal places.)

Answer #1

Solution :

expected value = = X * P(X)

= 0 *0.05 + 1 *0.20 + 2 *0.75

= (0 + 0.20 + 1.5 )

expected value = 1.7

Standard deviation =

=X
^{2} * P(X) -
^{2}

= [
0^{2 } * 0.05 +
1^{2} *0.20 + 2^{2} * 0.75] -1.7
^{2}

= [( 0+ 0.20 + 3 ) )] -2.89

= 3.2 -2.89

=0.31

standard deviation=0.5568

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x
0
1
2
P(x)
0.65
0.30
0.05
Compute the expected value of the distribution.
Compute the standard deviation of the distribution. (Round your
answer to four decimal places.)

Consider the probability distribution shown below.
x
0
1
2
P(x)
0.05
0.50
0.45
Compute the expected value of the distribution.
Consider a binomial experiment with
n = 7 trials
where the probability of success on a single trial is
p = 0.10.
(Round your answers to three decimal places.)
(a) Find
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P(r ≥ 1)
by using the complement rule.
Compute the standard deviation of the distribution. (Round your
answer to four decimal places.)
A...

You are given the probability distribution below:
x
0
1
2
3
4
p(x)
0.05
0.35
0.25
0.20
0.15
Determine the standard deviation of X. Report your
answer to three decimal places.

Consider a random variable X with the following probability
distribution:
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Find the expected value of X and the standard deviation of
X.

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distribution.
x
0
1
2
3
4
5
P(X ≤ x)
0.10
0.29
0.48
0.68
0.84
1
a. Calculate P(X ≤ 2).
(Round your answer to 2 decimal places.)
b. Calculate P(X = 2).
(Round your answer to 2 decimal places.)
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(Round your answer to 2 decimal places.)

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x
f(x)
0
0.05
1
0.2
2
0.3
3
0.45
a) Find the mean of this probability distribution. Round your
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Give your answer to at least 2 decimal places.

2.The random variable X has the probability distribution table
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decimal places.
x −1 0 4 10
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x
P(x)
0
0.25
1
0.05
2
0.15
3
0.55
Find the standard deviation of this probability distribution. Give
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What are the “expected value” and “standard deviation” of X?
Show your work.

Consider the following data:
x
44
55
66
77
88
P(X=x)
0.20.
0.10
0.30.
0.20.
0.20.
Copy Data
Step 1 of 5:
Find the expected value E(X). Round your answer to one decimal
place.
Step 2 of 5: Find the variance
Step 3 of 5: Find the standard deviation
Step 4 of 5: Find the value of P(X>5). Round your answer to
one decimal place.
Step 5 of 5:
Step 5 of 5: Find the value of P(X<6). Round your...

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