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?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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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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