The probability that a patient recovers from a rare blood disease is 0.4. If 15 people are known to have contracted this disease. a. what is the probability mass function? b. what is the probability that exactly 5 survive? c. what is the probability that at least 14 survive? d. what is the probability that at most 2 survive? e. Find the mean and variance of the binomial random variable.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.4: Discrete Random Variables; Applications To Decision Making
Problem 4E
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The probability that a patient recovers from a rare blood disease is 0.4. If 15 people are known to
have contracted this disease.
a. what is the probability mass function?
b. what is the probability that exactly 5 survive?
c. what is the probability that at least 14 survive?
d. what is the probability that at most 2 survive?
e.
Find the mean and variance of the binomial random variable.
Transcribed Image Text:The probability that a patient recovers from a rare blood disease is 0.4. If 15 people are known to have contracted this disease. a. what is the probability mass function? b. what is the probability that exactly 5 survive? c. what is the probability that at least 14 survive? d. what is the probability that at most 2 survive? e. Find the mean and variance of the binomial random variable.
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