Answered: It is now known that SARS-CoV-2, the… | bartleby

Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.8: Probability

Problem 32E

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It is now known that SARS-COV-2, the virus that causes COVID-19, also affects animals. Randomly selected cats were included in a vaccine trial for the
SARS-COV-2 virus and it was found that the vaccine was effective for 80% of cats.
Let: X = the number of cats for which the vaccine was effective on SARS-CoV-2 in a random sample.
a)
Suppose a random sample of 19 cats is drawn.
Calculate the expected number of cats for which the vaccine is effective.
Round your answer to 1 decimal place.
Determine the probability that the vaccine would be effective for at least 16 cats.
Round your answer to 4 decimal places.
Determine the probability that 4 cats will not respond positively to the vaccine.
Round your answer to 4 decimal places.
How many different samples can be drawn where 4 out of the possible 19 respond positively to the vaccine?

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