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a) What is the probability that (1) At most 6 of the calls involve a fax message? (ii) Exactly 6 of the calls involve a fax message? (iii) At least 6 of the calls involve a fax message?

a) What is the probability that (1) At most 6 of the calls involve a fax message? (ii) Exactly 6 of the calls involve a fax message? (iii) At least 6 of the calls involve a fax message?

A First Course in Probability (10th Edition)
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...
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c) Determine P(1 ≤X ≤ 3). d) What are E(X), E(X) and o₂? e) In a sample of 50 children, what is the probability that none has a food allergy? 6. A particular telephone number is used to receive both voice calls and fax messages. Suppose that 25% of the incoming calls involving fax messages, and consider a sample of 25 incoming calls. [Hint: Is this a binomial distribution? (Show your work, even though you can find the answers from the calculator.)] a) What is the probability that (i) At most 6 of the calls involve a fax message? (ii) Exactly 6 of the calls involve a fax message? (iii) At least 6 of the calls involve a fax message? (iv) More than 6 of the calls involve a fax message? b) What is the expected number of calls involving a fax message in the sample? (Do not round your answer.) hp
Transcribed Image Text:c) Determine P(1 ≤X ≤ 3). d) What are E(X), E(X) and o₂? e) In a sample of 50 children, what is the probability that none has a food allergy? 6. A particular telephone number is used to receive both voice calls and fax messages. Suppose that 25% of the incoming calls involving fax messages, and consider a sample of 25 incoming calls. [Hint: Is this a binomial distribution? (Show your work, even though you can find the answers from the calculator.)] a) What is the probability that (i) At most 6 of the calls involve a fax message? (ii) Exactly 6 of the calls involve a fax message? (iii) At least 6 of the calls involve a fax message? (iv) More than 6 of the calls involve a fax message? b) What is the expected number of calls involving a fax message in the sample? (Do not round your answer.) hp
Expert Solution
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It is given that 25% of the incoming calls involving fax messages and consider a sample of 25 incoming calls. Here, we have proportion p = 25% = 0.25 and sample size n = 25. So, we can ise Binomial distribution.

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