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A bag contains chips of which 27.5 percent are blue. A random sample of 5 chips will be selected one at a time and with replacement. What are the mean and standard deviation of the sampling distribution of the sample proportion of blue chips for samples of size 5?

A bag contains chips of which 27.5 percent are blue. A random sample of 5 chips will be selected one at a time and with replacement. What are the mean and standard deviation of the sampling distribution of the sample proportion of blue chips for samples of size 5?

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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how would you do this? ignore my answer i was just guessing. this is a non graded mcq practice
2. A bag contains chips of which 27.5 percent are blue. A random sample of 5 chips will be selected one at a time and with replacement. What are the mean and standard deviation of the sampling distribution of the sample proportion of blue chips for samples of size 5 ? (A) The mean is 5(0.275), and the standard deviation is √5(0.275) (0.725). 27.5 (B) The mean is 0.275, and the standard deviation is √5(0.275) (0.725). ((c)) The mean is 0.275, and the standard deviation is 0.275(0.725) 5 (D) The mean is 27.5, and the standard deviation is √5(27.5)(72.5). (E) The mean is 27.5, and the standard deviation is 27.5(72.5) 5
Transcribed Image Text:2. A bag contains chips of which 27.5 percent are blue. A random sample of 5 chips will be selected one at a time and with replacement. What are the mean and standard deviation of the sampling distribution of the sample proportion of blue chips for samples of size 5 ? (A) The mean is 5(0.275), and the standard deviation is √5(0.275) (0.725). 27.5 (B) The mean is 0.275, and the standard deviation is √5(0.275) (0.725). ((c)) The mean is 0.275, and the standard deviation is 0.275(0.725) 5 (D) The mean is 27.5, and the standard deviation is √5(27.5)(72.5). (E) The mean is 27.5, and the standard deviation is 27.5(72.5) 5
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