Question

Find the indicated complement. A certain group of women has a 0.55​% 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? What is the probability that the woman selected does not have​ red/green color​ blindness? nothing ​(Type an integer or a decimal. Do not​ round.)

Answer 1

Answer:

The probability that the woman selected does not have​ red/green color​ blindness is 0.9945.

Step-by-step explanation:

Let X = a woman has red/green color blindness.

It is provided that, in a certain group of women the rate of red/green color blindness is P (X) = 0.0055.

A complement of an event E, is defined as the event of not E.

The probability of complement of an event E is:

$P(E^{c})=1-P(E)$

Compute the probability that the woman selected does not have​ red/green color​ blindness as follows:

$P (X^{c})=1-P(X)\\=1-0.0055\\=0.9945$

Thus, the probability of the complement of the event of a woman having red/green color blindness is 0.9945.