Answer:
Step-by-step explanation:
We are given the following expression in the question:
a)
which is not equivalent to the given expression.
b)
which is equivalent to the given expression
c)
which is equivalent to the given expression.
d)
which is not equivalent to the given expression.
e)
which is equivalent to the given expression.
Answer:
Required Probability = 0.605
Step-by-step explanation:
Let Probability of people actually having predisposition, P(PD) = 0.03
Probability of people not having predisposition, P(PD') = 1 - 0.03 = 0.97
Let PR = event that result are positive
Probability that the test is positive when a person actually has the predisposition, P(PR/PD) = 0.99
Probability that the test is positive when a person actually does not have the predisposition, P(PR/PD') = 1 - 0.98 = 0.02
So, probability that a randomly selected person who tests positive for the predisposition by the test actually has the predisposition = P(PD/PR)
Using Bayes' Theorem to calculate above probability;
P(PD/PR) =
= =
= 0.605 .