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zimovet [89]
3 years ago
10

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?

Mathematics
2 answers:
Alex Ar [27]3 years ago
8 0

Answer:

0.42 ( APEX)

Step-by-step 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

=<u>0.0374</u>

P(C)=P(C∩D)/P(D | C)

=0.0374/0.09

=0.415

Simplify

0.42

Therefore Your Answer Is : 0.42

Olegator [25]3 years ago
3 0

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

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GaryK [48]

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D but read below.

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Step-by-step explanation:

The simple golden rule that we need to know here is

<em><u>"The probability of any event is always between 0 and 1 inclusive"</u></em>

<em><u /></em>

If an event has a probability of p(x), we can say:

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