According to a Gallup poll, 60% of American adults prefer saving over spending. Let X = the number of American adults out of a random sample of 50 who prefer saving to spending.   c. What is the probability distribution for X? d. Use your calculator to find the following probabilities: the probability that 25 adults in the sample prefer saving over spending the probability that at most 20 adults prefer saving the probability that more than 30 adults prefer saving e. Using the formulas, calculate the (i) mean and (ii) standard deviation of X.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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According to a Gallup poll, 60% of American adults prefer saving over spending. Let X = the number of American adults out of a random sample of 50 who prefer saving to spending.

 

c. What is the probability distribution for X?
d. Use your calculator to find the following probabilities:

  1. the probability that 25 adults in the sample prefer saving over spending

  2. the probability that at most 20 adults prefer saving

  3. the probability that more than 30 adults prefer saving

e. Using the formulas, calculate the (i) mean and (ii) standard deviation of X.

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