A Gallup Study showed that 40% of Americans are satisfied with the way things ar

Question

A Gallup Study showed that 40% 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 culumative 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 greater than 5 Americans are satisfied with the way things are going. Find the probability that the number of Americans who are satisfied with the way things are going differs by greater than 1 from the mean. Find the probability that no more than 6 Americans are satisfied with the way things are going. Find the probability that exactly 15 Americans are not satisfied with the way things are going. Find the Probability that more than 25% but at most 50% of these Americans are satisfied with the way things are going. Find the probability that no less than 13 Americans are satisfied with the way things are going. Find the probability that at least 10 americans are not satisfied with the way things are going. Round to 4 decimals when you get to the final answer. Also please show how i can derive the answer using cell references and explain how can i get to the final answer.

Explanation / Answer

Here, in this case, we would be using binomial distribution and the formula for same would be as follows: -

n!/k!(n-k)!*p^k*q^n-k and p=0.4 and 1=0.6

a) Find the probability that greater than 5 Americans are satisfied with the way things are going

  0.97063780

b) Find the probability that the number of Americans who are satisfied with the way things are going differs by greater than 1 from the mean

Here the mean would 0.4*10+0.6*15=4+9=13. Hence, probability with differs by 1 would be k=15 is 0.01316907

c) Find the probability that no more than 6 Americans are satisfied with the way things are going

  0.0735

d) Find the probability that exactly 15 Americans are not satisfied with the way things are going.

  0.16115794

e) Find the Probability that more than 25% but at most 50% of these Americans are satisfied with the way things are going.

  0.07596671-0.04420305=0.03

f) Find the probability that no less than 13 Americans are satisfied with the way things are going.

0.15376777

g) Find the probability that at least 10 americans are not satisfied with the way things are going.

  0.98683093

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.