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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
1
0.3456
0.4752
2
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.
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