1) Suppose that an individual randomly has three sexual partners from within the 20-24 age group and suppose that all people in that age group are equally likely carriers of chlamydia. Determine the empirical probability that Partner 1 and Partner 2 and Partner 3 have chlamydia.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.3: Conditional Probability; Independent Events; Bayes' Theorem
Problem 59E
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1) Suppose that an individual randomly has three sexual partners from within the 20-24 age group and suppose that all people in that age
group are equally likely carriers of chlamydia. Determine the empirical probability that Partner 1 and Partner 2 and Partner 3 have chlamydia.
2) Suppose that an individual randomly has three sexual partners from within the 20-24 age group and suppose that all people in that age
group are equally likely carriers of chlamydia. Determine the empirical probability that Partner 1 and Partner 2 and Partner 3 do not have
chlamydia 3) Suppose that an individual randomly has three sexual partners from within the 20-24 age group and suppose that all people in
that age group are equally likely carriers of chlamydia. Determine the empirical probability that at least one sexual partner out of the three has
chlamydia. 4) Suppose that all people in the given age group (20-24) are equally likely carriers of chlamydia. Suppose that the number of
sexual partners is increased to 15. Determine the empirical probability that at least one sexual partner out of the fifteen has chlamydia. 5)
Suppose that all people in a given age group are equally likely carriers of chlamydia. How many different sexual partners, from within the 20-
24 age group, would one have to have such that there would be approximately 60% probability that at least one partner had chlamydia.
QUESTION 2
ne CDC webpage NCHHSTP Atals https://www.cdc.gov/nchhstp/atlas/index.htm was used to gather data on the cases of
hlamydia in North Carolina for 2015. Note that the rate is the same as finding the experimental probability of a random individual
h the age group with chlamydia. The rate per 100,000 people shows how many people out of 100,000 would have chlamydia.
Age
Group
0-14
15-19
20-24
25-29
30-34
35-39
40-44
45-54
55-64
65+
17,516 | 26,117
1,037
863
186
35
4,509
0.706% 0.357% | 0.156% | 0.0629% | 0.0146% | 0.002%
Cases
458
11,385
2,255
Rate
0.0241%
2.65%
3.63%
1.7%
Rate
per
100,000
рeople
24.1
2650.3
3630.4
1700.4
705.6
356.6
156.3
62.9
14.6
2.3
Transcribed Image Text:1) Suppose that an individual randomly has three sexual partners from within the 20-24 age group and suppose that all people in that age group are equally likely carriers of chlamydia. Determine the empirical probability that Partner 1 and Partner 2 and Partner 3 have chlamydia. 2) Suppose that an individual randomly has three sexual partners from within the 20-24 age group and suppose that all people in that age group are equally likely carriers of chlamydia. Determine the empirical probability that Partner 1 and Partner 2 and Partner 3 do not have chlamydia 3) Suppose that an individual randomly has three sexual partners from within the 20-24 age group and suppose that all people in that age group are equally likely carriers of chlamydia. Determine the empirical probability that at least one sexual partner out of the three has chlamydia. 4) Suppose that all people in the given age group (20-24) are equally likely carriers of chlamydia. Suppose that the number of sexual partners is increased to 15. Determine the empirical probability that at least one sexual partner out of the fifteen has chlamydia. 5) Suppose that all people in a given age group are equally likely carriers of chlamydia. How many different sexual partners, from within the 20- 24 age group, would one have to have such that there would be approximately 60% probability that at least one partner had chlamydia. QUESTION 2 ne CDC webpage NCHHSTP Atals https://www.cdc.gov/nchhstp/atlas/index.htm was used to gather data on the cases of hlamydia in North Carolina for 2015. Note that the rate is the same as finding the experimental probability of a random individual h the age group with chlamydia. The rate per 100,000 people shows how many people out of 100,000 would have chlamydia. Age Group 0-14 15-19 20-24 25-29 30-34 35-39 40-44 45-54 55-64 65+ 17,516 | 26,117 1,037 863 186 35 4,509 0.706% 0.357% | 0.156% | 0.0629% | 0.0146% | 0.002% Cases 458 11,385 2,255 Rate 0.0241% 2.65% 3.63% 1.7% Rate per 100,000 рeople 24.1 2650.3 3630.4 1700.4 705.6 356.6 156.3 62.9 14.6 2.3
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