Based on historical data, your manager believes that 33% of the company's orders come from first-time customers. A random sample of 95 orders will be used to estimate the proportion of first-time-customers. Show your answer to 4 decimal places if necessary. a. What is the distribution of ˆpp^? ˆpp^ ~ N(,)  b. What is the probability that the sample proportion is less than 0.39? c. What is the probability that the sample proportion is between 0.35 and 0.38?

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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Based on historical data, your manager believes that 33% of the company's orders come from first-time customers. A random sample of 95 orders will be used to estimate the proportion of first-time-customers. Show your answer to 4 decimal places if necessary.

a. What is the distribution of ˆpp^? ˆpp^ ~ N(,) 

b. What is the probability that the sample proportion is less than 0.39?

c. What is the probability that the sample proportion is between 0.35 and 0.38?

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