The president of Doerman Distributors, Inc., believes that 30% of the firm's orders come from first-time customers. A random sample of 150 orders will be used to estimate the proportion of first-time customers. (a) Assume that the president is correct and p = 0.30. What is the sampling distribution of p for n = 150? (Round your answer for to four decimal places.) E(p) = Since np = and n(1 – p) = approximating the sampling distribution with a normal distribution ---Select--- appropriate in this case. (b) What is the probability that the sample proportionp will be between 0.20 and 0.40? (Round your answer to four decimal places.) (c) What is the probability that the sample proportion will be between 0.25 and 0.35? (Round your answer to four decimal places.)
The president of Doerman Distributors, Inc., believes that 30% of the firm's orders come from first-time customers. A random sample of 150 orders will be used to estimate the proportion of first-time customers. (a) Assume that the president is correct and p = 0.30. What is the sampling distribution of p for n = 150? (Round your answer for to four decimal places.) E(p) = Since np = and n(1 – p) = approximating the sampling distribution with a normal distribution ---Select--- appropriate in this case. (b) What is the probability that the sample proportionp will be between 0.20 and 0.40? (Round your answer to four decimal places.) (c) What is the probability that the sample proportion will be between 0.25 and 0.35? (Round your answer to four decimal places.)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
Related questions
Question
Transcribed Image Text:The president of Doerman Distributors, Inc., believes that 30% of the firm's orders come from first-time customers. A random sample of 150 orders will be used to estimate the
proportion of first-time customers.
(a) Assume that the president is correct and p
= 0.30. What is the sampling distribution of p for n
= 150? (Round your answer for o- to four decimal places.)
0- =
E(p)
Since nр 3
and n(1 – p) =
, approximating the sampling distribution with a normal distribution ---Select---
O appropriate in this case.
(b) What is the probability that the sample proportion p will be between 0.20 and 0.40? (Round your answer to four decimal places.)
(c)
What is the probability that the sample proportion will be between 0.25 and 0.35? (Round your answer to four decimal places.)
Expert Solution
Step 1
a)
Assume that p as the true proportion of firm’s orders that come from first-time customers.
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
Recommended textbooks for you
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON