Question

Suppose P(C/D)=0.34, P(D)=0.11 , and P(D/C)=0.09. What is P(C) rounded to two decimal places?

Answer 1

So C/D=.34 And D=.11, now just plug D into the first equation.

C/.11=.34 Divide by .11

C=3.09090909

Now this rounded two decimal places is 3.09!

Hope this helps

Answer 2

0.42 ( APEX)

Explanation:

From The Information Given

P(C | D) = P(C∩D)/P(D)

P(D | C) = P(C∩D)/P(C)

Therefore

P(C∩D) = P( C | D) × P(D)=P(D | C) × P(C)

P(C∩D) = 0.34×0.11

=0.0374

P(C)=P(C∩D)/P(D | C)

=0.0374/0.09

=0.415

Simplify

0.42

Therefore Your Answer Is : 0.42