Question

In: Statistics and Probability

In the United States, voters who are neither Democrat nor Republican are called Independent. It is...

In the United States, voters who are neither Democrat nor Republican are called Independent. It is believed that 12% of voters are Independent. A survey asked 30 people to identify themselves as Democrat, Republican, or Independent.

A. What is the probability that none of the people are Independent?

Probability =

B. What is the probability that fewer than 6 are Independent? Probability =

C. What is the probability that more than 2 people are Independent? Probability =

Solutions

Expert Solution

Use excel function ''=BINOM.DIST(x, n, p, FALSE)'' Where, x=0,1,2,3........30

x excel formula P(X=x)
0 =BINOM.DIST(0, 30, 0.12, FALSE) 0.021601
1 =BINOM.DIST(1, 30, 0.12, FALSE) 0.088369
2 =BINOM.DIST(2, 30, 0.12, FALSE) 0.174730
3 =BINOM.DIST(3, 30, 0.12, FALSE) 0.222383
4 =BINOM.DIST(4, 30, 0.12, FALSE) 0.204694
5 =BINOM.DIST(5, 30, 0.12, FALSE) 0.145146

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orchestra answered 1 year ago
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