A gallup Poll showed that 36% of Americans are satisfied with the way things are

Question

A gallup Poll showed that 36% of Americans are satisfied with the way things are going in the United States. Suppose a sample of 25 Americans are selected. Based on this information, generate a cumulative binomial probability distribution in the given space on the satisfied sheet in this workbook to answer the following questions. Answers must be shown in excel format for credit.

Find the probability that the number of americans who are satisfied w the way things are ging differs by greater than 2 from the mean.

Find the probability that more than 35% but at most 75% of these Americans are satisfied with the way things are going.

Explanation / Answer

Ans:

Given that

n=25,p=0.36

Mean=np=25*0.36=9

1)P(7<X<11)=0.1547+0.1644+0.1479=0.4670

2)same as in part 1),look at the cumulative column.

answer will be same as in 1) 0.4670

k BINOMDIST(k,25,0.36,FALSE) cumulative prob. 0 0.0000 0.0000 1 0.0002 0.0002 2 0.0014 0.0016 3 0.0058 0.0074 4 0.0181 0.0255 5 0.0427 0.0682 6 0.0801 0.1483 7 0.1222 0.2705 8 0.1547 0.4252 9 0.1644 0.5896 10 0.1479 0.7376 11 0.1135 0.8510 12 0.0745 0.9255 13 0.0419 0.9674 14 0.0202 0.9876 15 0.0083 0.9959 16 0.0029 0.9989 17 0.0009 0.9997 18 0.0002 0.9999 19 0.0000 1.0000 20 0.0000 1.0000 21 0.0000 1.0000 22 0.0000 1.0000 23 0.0000 1.0000 24 0.0000 1.0000 25 0.0000 1.0000

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