the two-way table shows the results of a recent study on the effectiveness of the flu vaccine.what is the probability that a randomly selected person who tested positive for the flu is vaccinated?  

The probability that a randomly selected person who is tested positive is vaccinated is:

0.4895

Step-by-step explanation:

We are given a two-way frequency table that represents the result of a recent study on the effectiveness of the flu vaccine.

The table is as follows:

                                  Pos.              Neg.                Total

Vaccinated                465                771                   1236

Not vaccinated         485                 600                 1085  

Total                           950               1371                   2321

Now we are asked to find the probability that a randomly selected person who tested positive for the flu is vaccinated.

Let A denote the event that the person is tested positive.

Let B denote the vent that he/she is vaccinated.

A∩B denote the event that the person tested positive is vaccinated.

Let P denote the probability of an event.

We are asked to find:

P(B|A)

We know that:

From the table we have:

and

Hence,

Hence, the probability is:

0.4895

step-by-step explanation:

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