Question: The random variable X is the crew size of a randomly selected shuttle mission. Its probability distribution is shown below. Complete parts a through c.
The random variable X is the crew size of a randomly selected shuttle mission. Its probability distribution is shown below. Complete parts a through c.
| x | 2 | 3 | 4 | 5 | 6 | 7 | 8 | |
| P(X equals =x) | 0.035 0.035 | 0.027 0.027 | 0.079 0.079 | 0.357 0.357 | 0.050 0.050 | 0.388 0.388 | 0.064 0.064 |
|
a. Find and interpret the mean of the random variable.
mu
equals
=
nothing
(Round to three decimal places as needed.)
Interpret the mean. Choose the correct answer below.
A.
As the number of observations, n, decreases, the mean of the observations will approach the mean of the random variable.
B.
The observed value of the random variable will be equal to the mean of the random variable in most observations.
C.
As the number of observations, n, increases, the mean of the observations will approach the mean of the random variable.
D.
The observed value of the random variable will be less than the mean of the random variable in most observations.
b. Obtain the standard deviation of the random variable.
sigma
equals
=
nothing
(Round to three decimal places as needed.)
c. Draw a probability histogram for the random variable. Choose the correct graph below.
A.
Crew Size
2
3
4
5
6
7
8
0
0.1
0.2
0.3
0.4
0.5
Probability
B.
Crew Size
2
3
4
5
6
7
8
0
0.1
0.2
0.3
0.4
0.5
Probability
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