The lifetime risk of developing pancreatic cancer is about one in 78 (1.28%). Let X = the number of people you ask until one says he or she has pancreatic cancer. Then X is a discrete random variable with a geometric distribution: X~G ~G (TB) or X G(0.0128). a. What is the probability of that you ask ten people before one says he or she has pancreatic cancer? b. What is the probability that you must ask 20 people? c. Find the (i) mean and (ii) standard deviation of X.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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The lifetime risk of developing pancreatic cancer is about one in 78 (1.28%). Let X = the number of people
you ask until one says he or she has pancreatic cancer. Then X is a discrete random variable with a geometric
distribution: X~G
~G (TB) or X G(0.0128).
a. What is the probability of that you ask ten people before one says he or she has pancreatic cancer?
b. What is the probability that you must ask 20 people?
c. Find the (i) mean and (ii) standard deviation of X.
Transcribed Image Text:The lifetime risk of developing pancreatic cancer is about one in 78 (1.28%). Let X = the number of people you ask until one says he or she has pancreatic cancer. Then X is a discrete random variable with a geometric distribution: X~G ~G (TB) or X G(0.0128). a. What is the probability of that you ask ten people before one says he or she has pancreatic cancer? b. What is the probability that you must ask 20 people? c. Find the (i) mean and (ii) standard deviation of X.
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