77.2k views
3 votes
To the nearest tenth, what is the value of P(C|Y)? 0.4 0.5 0.7 0.8

User ClearLogic
by
8.0k points

2 Answers

7 votes

Answer: 0.5

Explanation:

edge

User Giordano
by
8.5k points
3 votes

Answer:

P(C|Y) = 0.5.

Explanation:

We are given the following table below;

X Y Z Total

A 32 10 28 70

B 6 5 25 36

C 18 15 7 40

Total 56 30 60 146

Now, we have to find the probability of P(C/Y).

As we know that the conditional probability formula of P(A/B) is given by;

P(A/B) =
(P(A \bigcap B))/(P(B))

So, according to our question;

P(C/Y) =
(P(C \bigcap Y))/(P(Y))

Here, P(Y) =
(30)/(146) and P(C
\bigcap Y) =
(15)/(146) {by seeing third row and second column}

Hence, P(C/Y) =
((15)/(146) )/((30)/(146) )

=
(15)/(30) = 0.5.

User Xerq
by
8.4k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories