Question

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

Answer 1

Answer: 0.5

Explanation:

edge

Answer 2

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.