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.) 0 17
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.) 0 17
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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Part 4 and letter b on question 6
![Homework 3
X
a Annum Universal 27 ID X
instructure.com/courses/177490/assignments/1678218
S Shaler Perforrique Com X
Page
of 3
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.)
17](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F048faa6b-a100-4249-8bc6-0274c2c51311%2F9d45e484-3b71-41a7-98ec-153a92d9996e%2Fdsjki6j_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Homework 3
X
a Annum Universal 27 ID X
instructure.com/courses/177490/assignments/1678218
S Shaler Perforrique Com X
Page
of 3
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.)
17
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