Solution Found!
The table lists the number of computers per household in
Chapter , Problem 2CQ(choose chapter or problem)
Problem 2CQ
The table lists the number of computers per household in the United States.
Computers |
0 |
1 |
2 |
3 |
4 |
5 |
Number of households (in millions) |
27 |
47 |
24 |
10 |
4 |
2 |
(a) Construct a probability distribution.
(b) Graph the probability distribution using a histogram and describe its shape.
(c) Find the mean, variance, and standard deviation of the probability distribution and interpret the results.
(d) Find the probability of randomly selecting a household that has at least four computers.
Questions & Answers
QUESTION:
Problem 2CQ
The table lists the number of computers per household in the United States.
Computers |
0 |
1 |
2 |
3 |
4 |
5 |
Number of households (in millions) |
27 |
47 |
24 |
10 |
4 |
2 |
(a) Construct a probability distribution.
(b) Graph the probability distribution using a histogram and describe its shape.
(c) Find the mean, variance, and standard deviation of the probability distribution and interpret the results.
(d) Find the probability of randomly selecting a household that has at least four computers.
ANSWER:
Answer
Step 1 of 4
(a)
The table lists the number of computers per household in the United States.
Computers |
0 |
1 |
2 |
3 |
4 |
5 |
Number of households (in millions) |
27 |
47 |
24 |
10 |
4 |
2 |
We are asked to construct a probability distribution.
Let denote the random variable which represents the number of computers in the households.
Hence the probability distribution of
The probability of computers hold by the 27 million households will be,
Similarly,
0 |
1 |
2 |
3 |
4 |
5 |
|
P(X=x) |
0.237 |
0.412 |
0.211 |
0.088 |
0.035 |
0.018 |