Question

Suppose there are three health risk factors (say A, B, C). For each risk factor, 10% of the population has exactly this risk factor (and no others). For any two of the three risk factors, 12% of the population has exactly these two risk factors (but not the other). Of those with risk factor A and B, a third of them have all the three risk factors. (a) Find the probability that a randomly selected person has all three health risks. (b) Find the probability that a randomly selected person has at least two health risks, given that the person has risk factor A. (c) Calculate the probability that a person has none of the three risk factors, given that the person does not have risk factor A.

          Suppose there are three health risk factors (say A, B, C). For each risk factor, 10% of the population has exactly this risk factor (and no others). For any two of the three risk factors, 12% of the population has exactly these two risk factors (but not the other). Of those with risk factor A and B, a third of them have all the three risk factors.
(a) Find the probability that a randomly selected person has all three health risks.
(b) Find the probability that a randomly selected person has at least two health risks, given that the person has risk factor A.
(c) Calculate the probability that a person has none of the three risk factors, given that the person does not have risk factor A.

Suppose there are three health risk factors (say A, B, C). For each risk factor, 10% of the population has exactly this risk factor (and no others). For any two of the three risk factors, 12% of the population has exactly these two risk factors (but not the other). Of those with risk factor A and B, a third of them have all the three risk factors.
(a) Find the probability that a randomly selected person has all three health risks.
(b) Find the probability that a randomly selected person has at least two health risks, given that the person has risk factor A.
(c) Calculate the probability that a person has none of the three risk factors, given that the person does not have risk factor A.

Added by Vickie R.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Joanna Quigley

11/28/2022

Step 1

Since 12% of the population has exactly these two risk factors, the probability of having all three is 12% * 1/3 = 4%. (b) The probability that a randomly selected person has at least two health risks given that the person has risk factor A is the sum of the Show more…

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Suppose there are three health risk factors (say A, B, C). For each risk factor, 10% of the population has exactly this risk factor (and no others). For any two of the three risk factors, 12% of the population has exactly these two risk factors (but not the other). Of those with risk factor A and B, a third of them have all the three risk factors. (a) Find the probability that a randomly selected person has all three health risks. (b) Find the probability that a randomly selected person has at least two health risks, given that the person has risk factor A. (c) Calculate the probability that a person has none of the three risk factors, given that the person does not have risk factor A.