Fifty percent of Americans believed the country was in a recession, even though technically the economy had not shown two straight quarters of negative growth (BusinessWeek, July 30, 2001). For a sample of 20 Americans, make the following calculations. Compute the probability that exactly 12 people believed the country was in a recession. Compute the probability that no more than five people believed the country was in a recession. How many people would you expect to say the country was in a recession? Compute the variance and standard deviation of the number of people who believed the country was in a recession.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Fifty percent of Americans believed the country was in a recession, even though technically the economy had not shown two straight quarters of negative growth (BusinessWeek, July 30, 2001). For a sample of 20 Americans, make the following calculations.

  1. Compute the probability that exactly 12 people believed the country was in a recession.
  2. Compute the probability that no more than five people believed the country was in a recession.
  3. How many people would you expect to say the country was in a recession?
  4. Compute the variance and standard deviation of the number of people who believed the country was in a recession.
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