You may need to use the appropriate appendix table or technology to answer this question. The president of Doerman Distributors, Inc., believes that 25% of the firm's orders come from first-time customers. A random sample of 100 orders will be used to estimate the proportion of first-time customers. (a) Assume that the president is correct andp = 0.25. What is the sampling distribution of p for n = 100? (Round your answer for a- to four decimal places.) 0- = 0433 E(p) = 25 Since np = 25 and n(1 - p) = 75 , approximating the sampling distribution with a normal distribution is v appropriate in this case. (b) What is the probability that the sample proportion p will be between 0.15 and 0.35? (Round your answer to four decimal places.) (c) What is the probability that the sample proportion will be between 0.20 and 0.30? (Round your answer to four decimal places.)

College Algebra (MindTap Course List)
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ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
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Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 6E: List the sample space of each experiment. Tossing three coins
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You may need to use the appropriate appendix table or technology to answer this question.
The president of Doerman Distributors, Inc., believes that 25% of the firm's orders come from first-time customers. A random sample of 100 orders will be used to estimate the proportion of first-time customers.
(a) Assume that the president is correct and p = 0.25. What is the sampling distribution of p for n = 100? (Round your answer for o- to four decimal places.)
.0433
E(p) =
.25
Since np = 25
and n(1 - p) = |75
, approximating the sampling distribution with a normal distribution
appropriate in this case.
(b) What is the probability that the sample proportion p will be between 0.15 and 0.35? (Round your answer to four decimal places.)
(c) What is the probability that the sample proportion will be between 0.20 and 0.30? (Round your answer to four decimal places.)
Transcribed Image Text:You may need to use the appropriate appendix table or technology to answer this question. The president of Doerman Distributors, Inc., believes that 25% of the firm's orders come from first-time customers. A random sample of 100 orders will be used to estimate the proportion of first-time customers. (a) Assume that the president is correct and p = 0.25. What is the sampling distribution of p for n = 100? (Round your answer for o- to four decimal places.) .0433 E(p) = .25 Since np = 25 and n(1 - p) = |75 , approximating the sampling distribution with a normal distribution appropriate in this case. (b) What is the probability that the sample proportion p will be between 0.15 and 0.35? (Round your answer to four decimal places.) (c) What is the probability that the sample proportion will be between 0.20 and 0.30? (Round your answer to four decimal places.)
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