Question

A survey asked people of different ages whether they get their news byreading the paper. What is the probability that a person surveyed is under 40,given that he or she gets the news by reading the paper? If necessary, roundRead paperDon't readTotalpaperUnder 4043640your answer to the nearest percent.2440 or older1640Total285280

Answer 1

ANSWER;

$C;\text{ 14\%}$

EXPLANATIONS;

Here, we want to get the probability of A, given B; where A refers to the event that the person surveyed is under 40, and B is the event that he or she gets the news by reading news paper

According to Bayes' theorem, we have the formula to use as;

$P(A|B)\text{ = }\frac{P(AnB)}{P(B)}$

Since the total is the same, we can work only with the numbers

So, firstly, we need the number of people that gets the news by reading news papers; we have this as 28

Now, we need the number of people who are under 40 and also gets their news by reading papers

We have this as 4

So, we have the probability as;

$P(A|B)\text{ =}\frac{4}{28}\text{ = }\frac{1}{7}\text{ = 14.28 \%}$

We have this as approximately 14%