Question

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.

Answer #1

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.)

x
P(x)
0
0.25
1
0.05
2
0.15
3
0.55
Find the standard deviation of this probability distribution. Give
your answer to at least 2 decimal places

Consider the probability distribution shown below.
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
P(r = 0).
(b) Find
P(r ≥ 1)
by using the complement rule.
Compute the standard deviation of the distribution. (Round your
answer to four decimal places.)
A...

Determine whether a probability distribution is given. If a
probability distribution is given, find its mean and standard
deviation. Keep fractional values to 4 significant digits.
For a small community, the probability distribution for the
number x who passed away through the last five years is as
given in the following table.
x P(x)
0 0.00
1 0.15
2 0.35
3 0.30
4 0.20
Is this a valid probability distribution?
If the mean can...

Consider a random variable X with the following probability
distribution:
P(X=0) = 0.08, P(X=1) = 0.22,
P(X=2) = 0.25, P(X=3) = 0.25,
P(X=4) = 0.15, P(X=5) =
0.05
Find the expected value of X and the standard deviation of
X.

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

Given the following table, answer the questions below.
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
answer to one decimal place.
b) Find the standard deviation of this probability distribution.
Give your answer to at least 2 decimal places.

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

(4% = 2% for each part)
Given the following discrete probability distribution:
x 5 6 7 8
P(x) 0.35 0.45 0.15 0.05
a) Calculate the expected value of X (E(X) = μX).
b) Calculate the standard deviation of X (σX )

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