4 of the questions remain unanswered (1 point) In a certain population of people

Question

4 of the questions remain unanswered (1 point) In a certain population of people, 15% will contract Disease A at some point in their lifetime, 21% will contract Disease 69% will not contract either of these diseases in their lifetime at some point in their lifetime and A person from this population is randomly chosen Part (a) Complete the probability table below. Use two decimals in each of your answers Disease Row Probabilities 0.18 0.69 0.87 0.21 0.03 0.12 Column Probabilities 0.15 Bc 81 1.02 Part (b) Find the probability that the person chosen contracts Disease A or Disease B. Enter your answer to two decimals Part (c) Find the probability that the person chosen contracts only one of these two diseases Part (d) Suppose a person contracts Disease A. What is the chance that this person will contract Disease B? Enter your answer to four decimals i(use two decimals) Part (e) If a person contracts Disease B, what is the probability they will also contract Disease A? (use four decimals)

Explanation / Answer

Answer to the question is as follows:

a.

A Ac RowProb

B .05 .16 .21

Bc .10 .69 .79

Col.Pro b .15 .85 1.00

b. P( A or B) = P(A)+P(B) - P(A and B) = .15+.21-.03 = .33

c. P(only one of two disease) = P( A and Bc) + P(Ac and B) = .12+.18 = .30

d. P(B|A) = .03/.15 = .20

e. P(A|B) = .03/.21 = .1429

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