The probability that a patient recovers from a rare blood disease is 0.4 If 15 randomly chosen patients are known to have contracted this disease, what is the probability that between 3 and 8, inclusive, survived?
The probability that a patient recovers from a rare blood disease is 0.4 If 15 randomly chosen patients are known to have contracted this disease, what is the probability that between 3 and 8, inclusive, survived?
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 14E
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Define the random variable, its type of distribution, and compute for the variable/measure that is being asked. You can follow the example below
Transcribed Image Text:1. The probability that a patient recovers from a rare blood disease is 0.4 If 15
randomly chosen patients are known to have contracted this disease, what is
the probability that between 3 and 8, inclusive, survived?
![Ex. A large number of insects are expected to be attracted to a certain variety
of rose plant. A commercial insecticide is advertised as being 99% effective.
Suppose 200 insects infest a rose garden where the insecticide has been
applied. What is the probability that none of these insects can survive?
Random variable: X – number of dead insects
Distribution: X-Bin(200,0.99)
Computation: P[X = 200] = (200) + 0.99200 * 0.01° = 0.1340](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F68118daf-3613-4637-9617-ad2228307f9a%2F9e22c590-bdf9-4c67-a006-496d1cbfeb99%2Fjdeqx45_processed.png&w=3840&q=75)
Transcribed Image Text:Ex. A large number of insects are expected to be attracted to a certain variety
of rose plant. A commercial insecticide is advertised as being 99% effective.
Suppose 200 insects infest a rose garden where the insecticide has been
applied. What is the probability that none of these insects can survive?
Random variable: X – number of dead insects
Distribution: X-Bin(200,0.99)
Computation: P[X = 200] = (200) + 0.99200 * 0.01° = 0.1340
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