Use the cumulative binomial probability excel output above (dealing with the num

Question

Use the cumulative binomial probability excel output above (dealing with the number of Americans who are satisfied with the way things are going in the U.S.) to answer the following question.  

Find the probability that greater than 5 Americans are satisfied with the way things are going. Round to the fourth decimal.

Binomial n 25 p 0.39 xi P(X<=xi) 0 0.0000 1 0.0001 2 0.0006 3 0.0032 4 0.0123 5 0.0367 6 0.0886 7 0.1789 8 0.3086 9 0.4653 10 0.6257 11 0.7654 12 0.8697 13 0.9363 14 0.9729 15 0.9900 16 0.9968 17 0.9992 18 0.9998 19 1.0000 20 1.0000 21 1.0000 22 1.0000 23 1.0000 24 1.0000 25 1.0000

Explanation / Answer

Here we have to find probability that greater than 5 Americans are satisfied with the way things are going.

That is we have to find P( X> 5 )= 1- P(X<=5)

From given cumulative probability table we get,

P(X<= 5)= 0.0367

So P(X > 5) = 1- 0.0367 = 0.9633

Required answer: 0.9633

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