Among women who have the bcrs1/2 gene, 51% of them contract breast or ovarian cancer by the age of 50. imagine an experiment in which a 50 year old woman with this gene is chosen at random, and it is recorded whether or not she has breast or ovarian cancer. let 5 women be selected in this manner, and let x = the number of women who have breast or ovarian cancer. what is p(x=1)?

Step-by-step explanation:

There can only be two outcomes. Either a woman has breast or ovarian cancer, or she hasn't. So we can solve this problem by the binomial probability formula.

Binomial probability

Th binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which is the number of different combinatios of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.

In this problem

We want to find P(X = 1), so .

There are 5 woman, so

There is a 51% probability that a woman with this gene has cancer, so