Question

Answer the following questions. a. If ​P(A)equals=0.570.57​, find the probability of the complement of​ A, ​P(Upper A overbarA​). b. A certain group of women has a 0.040.04​% rate of​ red/green color blindness. If a woman is randomly​ selected, what is the probability that she does not have​ red/green color​ blindness? a. ​P(Upper A overbarA​)equals=nothing ​(Type an exact answer in simplified​ form.) b. What is the probability that the woman selected does not have​ red/green color​ blindness? nothing ​(Type an exact answer in simplified​ form.)

Answer 1

a) Probability of complement of A : P(A') = 0.43.

b) the probability that a woman selected in random does not have​ red/green color​ blindness

P(W') = 0.9996

Explanation:

a) Given;

P(A) = 0.57

To determine the supplement, we can use the expression;

P(A) + P(A') = 1

P(A') = 1 - P(A)

P(A') = 1 - 0.57 = 0.43

P(A') = 0.43

Probability of complement of A : P(A') = 0.43.

b) Given;

The probability of a woman having colour blindness:

P(W) = 0.04% = 0.04%/100% = 0.0004

Using the expression:

P(W') = 1 - P(W)

P(W') = 1 - 0.0004

P(W') = 0.9996