Twenty percent of babies in a particular city are born by a surgical procedure called a Cesarean

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Twenty percent of babies in a particular city are born by a surgical procedure called a Cesarean section (C-section). You are interested in gathering information about hospital experiences of parents who did not have their baby by C-section. You survey randomly parents of babies from the population of the large city until you find the first one who had a baby not born by C-section.
a. Explain in words what X is in this situation and what values it can take.
b. Why is this a Geometric distribution situation? What is the parameter?
c. What is the probability that you have to survey parents of at least 5 babies until you find the first one not born by C-section?
d. Given that you have to survey parents of more than 1 baby to find the first one not born by C-section, what is the probability that you have to survey at least 5 parents of babies?
e. What is the probability that you must survey between 4 and 6 (inclusive) parents of babies to find one that was not born by C-section?
f. What is the expected value of X?
g. What is the variance of X?
h. Show the labeled graph of the mass for this story.
i. Show the labeled graph of the CDF for this story. Distribution
The word "distribution" has several meanings in the financial world, most of them pertaining to the payment of assets from a fund, account, or individual security to an investor or beneficiary. Retirement account distributions are among the most...
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Introduction to Probability

ISBN: 978-0716771098

1st edition

Authors: Mark Daniel Ward, Ellen Gundlach

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