a. Which probability distribution would you use to calculate the probability of success or failure of Advanced Researcher's vaccine if it were to be administered to children? b. What are the assumptions of the probability distribution identified in part "a."? c. Assume that the vaccine is given to a group of 50 children from Jamaica, what is the probability that it is effective in exactly 40 children? Interpret your results.

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Question one
There is currently a global pandemic and many researchers and scientists are working
towards finding a vaccine that is suitable for children. Assume that Advanced
Researcher, a company that is currently testing a few vaccines confirms an 80%
chance of effectiveness of one of their vaccines.
a. Which probability distribution would you use to calculate the probability of success
or failure of Advanced Researcher's vaccine if it were to be administered to children?
b. What are the assumptions of the probability distribution identified in part "a."?
c. Assume that the vaccine is given to a group of 50 children from Jamaica, what is
the probability that it is effective in exactly 40 children? Interpret your results.
Transcribed Image Text:Question one There is currently a global pandemic and many researchers and scientists are working towards finding a vaccine that is suitable for children. Assume that Advanced Researcher, a company that is currently testing a few vaccines confirms an 80% chance of effectiveness of one of their vaccines. a. Which probability distribution would you use to calculate the probability of success or failure of Advanced Researcher's vaccine if it were to be administered to children? b. What are the assumptions of the probability distribution identified in part "a."? c. Assume that the vaccine is given to a group of 50 children from Jamaica, what is the probability that it is effective in exactly 40 children? Interpret your results.
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