In Spring 2021, UMD decided to allow in-person graduation celebrations, despite COVID-19. You want to throw a modestly-sized, indoor graduation party this week with some of your friends in your fraternity. However, out of the 20 other people in your fraternity, 7 have tested positive for COVID-19, and you do not know who those people are. A) You plan to only invite 10 people, and you select them at random. What is the probability that exactly 3 of the 10 people you invite are COVID-19 positive? Pval number (rtol=D0.01, atol=D0.0001) B) You plan to only invite 5 people, and you select them at random. What is the probability that 4 or more of the 5 people you invite are COVID-19 positive?

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In Spring 2021, UMD decided to allow in-person graduation celebrations, despite COVID-19. You want to
throw a modestly-sized, indoor graduation party this week with some of your friends in your fraternity.
However, out of the 20 other people in your fraternity, 7 have tested positive for COVID-19, and you do not
know who those people are.
A) You plan to only invite 10 people, and you select them at random. What is the probability that exactly 3 of
the 10 people you invite are COVID-19 positive?
Pval
number (rtol=0.01, atol=D0.0001)
B) You plan to only invite 5 people, and you select them at random. What is the probability that 4 or more of
the 5 people you invite are COVID-19 positive?
Pval
number (rtol=0.01, atol=D0.0001)
C) You plan to only invite 10 people, and you select them at random. What is a 90% Confidence Interval on the
number of people you expect to be positive out of the 10 that you invite? Answer using an integer. To simplify
this part of the problem, you may assume that the overall positivity rate is fixed at 0.25.
Note: For the two integer fields for the lower and upper Cl on the number of positive cases, your integer
bounds should be conservative. That is, if the answer for lower bound is 2.3 people, then the lower bound
should be 2, and if the upper bound is 5.7 then then upper bound should be 6, etc.
integer
Tub
integer
D) What is the maximum number of people you can invite to the party while still satifying the requirement that
there is no more than a 60% chance that one or more invited people is COVID-19 positive? To simplify this
problem, you may assume that the overall positivity rate is fixed at 0.25.
integer
Transcribed Image Text:In Spring 2021, UMD decided to allow in-person graduation celebrations, despite COVID-19. You want to throw a modestly-sized, indoor graduation party this week with some of your friends in your fraternity. However, out of the 20 other people in your fraternity, 7 have tested positive for COVID-19, and you do not know who those people are. A) You plan to only invite 10 people, and you select them at random. What is the probability that exactly 3 of the 10 people you invite are COVID-19 positive? Pval number (rtol=0.01, atol=D0.0001) B) You plan to only invite 5 people, and you select them at random. What is the probability that 4 or more of the 5 people you invite are COVID-19 positive? Pval number (rtol=0.01, atol=D0.0001) C) You plan to only invite 10 people, and you select them at random. What is a 90% Confidence Interval on the number of people you expect to be positive out of the 10 that you invite? Answer using an integer. To simplify this part of the problem, you may assume that the overall positivity rate is fixed at 0.25. Note: For the two integer fields for the lower and upper Cl on the number of positive cases, your integer bounds should be conservative. That is, if the answer for lower bound is 2.3 people, then the lower bound should be 2, and if the upper bound is 5.7 then then upper bound should be 6, etc. integer Tub integer D) What is the maximum number of people you can invite to the party while still satifying the requirement that there is no more than a 60% chance that one or more invited people is COVID-19 positive? To simplify this problem, you may assume that the overall positivity rate is fixed at 0.25. integer
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