Find p(y|b) from the information in the table.
a 5-column table has 4 rows. the first column has entries a, b, c, total. the second column is labeled x with entries 8, 6, 23, 37. the third column is labeled y with entries 80, 34, 56, 170. the fourth column is labeled z with entries 40, 45, 32, 117. the fifth column is labeled total with entries 128, 85, 111, 324.
to the nearest tenth, what is the value of p(y|b)?
0.2
0.3
0.4
0.5

0.4

Step-by-step explanation:

The table with correct formatting is attached in the image below.

We have to find P(Y | B). This is a conditional probability i.e. probability of Y given B.

The formula of conditional probability for two event A and B is:

So, for the given case, the formula would be:

P(Y ∩ B) indicates the probability of Y and B occurring together. Y and B occur together 34 times out of total of 324, so:

P(B) indicates the probability of occurrence of B. B occurs 85 times in a total of 324. So,

Using these values in the formula of conditional probability, we get:

Thus, the value of P(Y|B) is 0.4

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