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.
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.
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Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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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
than 4 hours? Interpret your result.
assignment in a
period
Question three
In your own words, thoroughly explain how a sampling distribution of a sample can be
constructed.
Question four
A poll was conducted in a very small community in country X to see if residents are for or
against a new policy that requires them to wear a mask. A total of 500 persons were surveyed.
Of the 500 surveyed 200 are against wearing a mask. Compute a 90% confidence interval for the
true percent of residents who are against the new policy, and interpret the confidence interval.
The end :)
Rubric](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2860ea02-4a6a-4192-9bc1-67af91be1860%2Fac5e04a2-fc08-4a32-9b74-2dc6bbabb3b4%2Fnstjq3e_processed.jpeg&w=3840&q=75)
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
than 4 hours? Interpret your result.
assignment in a
period
Question three
In your own words, thoroughly explain how a sampling distribution of a sample can be
constructed.
Question four
A poll was conducted in a very small community in country X to see if residents are for or
against a new policy that requires them to wear a mask. A total of 500 persons were surveyed.
Of the 500 surveyed 200 are against wearing a mask. Compute a 90% confidence interval for the
true percent of residents who are against the new policy, and interpret the confidence interval.
The end :)
Rubric
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