News articles that link to related stories are widely used in Web marketing. With a large number of daily visitors to a Web page, we model the proportion of daily visitors who click on a link to a related story as approximately a continuous random variable with a beta distribution. The parameters are α = 6 and B = 1. a. What is the mean and standard deviation of the proportion of visitors who click? b. What is the probability a proportion exceeds 0.58? c. What proportion is exceeded with probability 0.33? d. If 550 visitors view the page, what is the expected number of visitors who click on a link to a related story?

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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News articles that link to related stories are widely used in Web marketing. With a large
number of daily visitors to a Web page, we model the proportion of daily visitors who click
on a link to a related story as approximately a continuous random variable with a beta
distribution. The parameters are α = 6 and B = 1.
a. What is the mean and standard deviation of the proportion of visitors who click?
b. What is the probability a proportion exceeds 0.58?
c. What proportion is exceeded with probability 0.33?
d. If 550 visitors view the page, what is the expected number of visitors who click on
a link to a related story?
Transcribed Image Text:News articles that link to related stories are widely used in Web marketing. With a large number of daily visitors to a Web page, we model the proportion of daily visitors who click on a link to a related story as approximately a continuous random variable with a beta distribution. The parameters are α = 6 and B = 1. a. What is the mean and standard deviation of the proportion of visitors who click? b. What is the probability a proportion exceeds 0.58? c. What proportion is exceeded with probability 0.33? d. If 550 visitors view the page, what is the expected number of visitors who click on a link to a related story?
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