There is currently a global pandemic and many researchers and scientists are working assiduously to find a vaccine. 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 people in society? 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 people from Jamaica, what is the probability that it is an effective in exactly 40 persons? Interpretation your result.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
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Question one
There is currently a global pandemic and many researchers and scientists are working
assiduously to find a vaccine. 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 people in society?
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 people from Jamaica, what is the
probability that it is an effective in exactly 40 persons? Interpretation your result.
Question two
Assume that the time that will be taken to complete this assignment is a random variable with a
normal distribution. Also, assume that the average time to complete this assignment is 8 hours
and that the standard deviation is 1 hour. What is the probability that a student will finish this
assignment in a time period less than 4 hours? Interpret your result.
Transcribed Image Text:Question one There is currently a global pandemic and many researchers and scientists are working assiduously to find a vaccine. 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 people in society? 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 people from Jamaica, what is the probability that it is an effective in exactly 40 persons? Interpretation your result. Question two Assume that the time that will be taken to complete this assignment is a random variable with a normal distribution. Also, assume that the average time to complete this assignment is 8 hours and that the standard deviation is 1 hour. What is the probability that a student will finish this assignment in a time period less than 4 hours? Interpret your result.
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