Answer:
39.17% probability that a woman in her 60s who has a positive test actually has breast cancer
Step-by-step explanation:
Bayes Theorem:
Two events, A and B.

In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.
In this question:
Event A: Positive test.
Event B: Having breast cancer.
3.65% of women in their 60s get breast cancer
This means that 
A mammogram can typically identify correctly 85% of cancer cases
This means that 
Probability of a positive test.
85% of 3.65% and 100-95 = 5% of 100-3.65 = 96.35%. So

What is the probability that a woman in her 60s who has a positive test actually has breast cancer?

39.17% probability that a woman in her 60s who has a positive test actually has breast cancer
Answer: a) 
b) 
c) 
Step-by-step explanation:
Given : Number of students : 11
Number of faculty members : 13
Total persons : 
Total number of ways to structure a jury of six people from a group of 24 people :-

a) Number of ways of selecting a jury of all students :-

Then , the probability of selecting a jury of all students :-

b) Number of ways of selecting a jury of all faculty :-

Then , the probability of selecting a jury of all students :-

c) Number of ways of selecting a jury of two students and four faculty :-

Then , the probability of selecting a jury of all students :-

The answer is B) Exponentially, shows a constant percentage in sales per month
Group like terms
-4g^4 - 3g^3 + g^2 + 3g^2 + 5g + 9 - 6
combining like terms:-
= -4g^4 - 3g^3 + 4g^2 + 5g + 3