a. For the population, find the proportion of even numbers. The proportion is (Round to three decimal places as needed.) b. Find the proportion of even numbers of each of the nine samples, then summarize the sampling distribution of the sample proportion of even numbers in the format of a table representing the probability distribution of the distinct proportion values.

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.
Chapter12: Probability
Section12.3: Conditional Probability; Independent Events; Bayes' Theorem
Problem 82E
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1.c

Three randomly selected children are surveyed. The ages of the children are 4, 5, and 9. Assume that
samples of size n = 2 are randomly selected with replacement from the population of 4, 5, and 9.
Listed below are the nine different samples. Complete parts (a) through (d).
4,4 4,5 4,9 5,4 5,5 5,9 9,4 9,5 9,9
a. For the population, find the proportion of even numbers.
The proportion is
(Round to three decimal places as needed.)
b. Find the proportion of even numbers of each of the nine samples, then summarize the sampling
distribution of the sample proportion of even numbers in the format of a table representing the
probability distribution of the distinct proportion values.
Sample
Proportion
Probability
(Type integers or simplified fractions.)
Transcribed Image Text:Three randomly selected children are surveyed. The ages of the children are 4, 5, and 9. Assume that samples of size n = 2 are randomly selected with replacement from the population of 4, 5, and 9. Listed below are the nine different samples. Complete parts (a) through (d). 4,4 4,5 4,9 5,4 5,5 5,9 9,4 9,5 9,9 a. For the population, find the proportion of even numbers. The proportion is (Round to three decimal places as needed.) b. Find the proportion of even numbers of each of the nine samples, then summarize the sampling distribution of the sample proportion of even numbers in the format of a table representing the probability distribution of the distinct proportion values. Sample Proportion Probability (Type integers or simplified fractions.)
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