At least one of the answers above is NOT correct. 1 point in a certain populatio

Question

At least one of the answers above is NOT correct. 1 point in a certain population of people, 15% will contract Disease A at some point in their lifetime, 21% will contract Disease B at some point in their lifetime, and 69% will not contract either of these diseases in their lifetime A person from this population is randomly chosen. Part (a) Complete the probability table below. Use two decimals in each of your answers. Disease 0.05 0.10 0.15 0.16 0.69 | | 0.85 Row Probabilities 0.21 0.79 1.0 Probabilit Part (b) Find the probability that the person chosen contracts Disease A or Disease B. Enter your answer to two decimals. 0.33 Part (c) Find the probability that the person chosen contracts only one of these two diseases. 0.30 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. 0.20 Part (e) If a person contracts Disease B, what is the probability they will also contract Disease A? 0.1429 (use two decimals) tli (use four decimals)

Explanation / Answer

b) P(A or B) = P(A) + P(B) - P(Both) = 0.15 + 0.21 - 0.05 = 0.31

c) P(Only one of two diseases) = 0.10 + 0.16 = 0.26

d) P(B | A) = 0.05/0.15 = 1/3 = 0.3333

e) P(A | B) = 0.05/0.21 = 5/21 = 0.2381

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