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.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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?
Transcribed Image Text: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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