Question

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 =

Answer 1

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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