In a certain town, 40% of the people work for the federal government. The table shows the probability distribution for the number of adults (among 4 randomly chosen) who work for the federal government. Note the last column shows the cumulative probabilities.
|
x
|
P(x)
|
Cumulative Probability
|
|
0
|
0.1296
|
0.1296
|
|
1
|
0.3456
|
0.4752
|
|
2
|
0.3456
|
0.8208
|
|
3
|
0.1536
|
0.9744
|
|
4
|
0.0256
|
1.0000
|
a. Find the probability that exactly 3 people work for the government.
b. Find the probability that less than 4 work for the government.
c. Find the probability that at least 2 work for the government.
d. Find the standard deviation for the probability distribution. (round to 2 decimal places)
e. Find the expected value for the number of people who work for the govt.