Question

Of the last 500 customers entering a supermarket, 50 have purchased a loaf of bread. If the relative frequency approach for assigning probabilities is used, the probability that the next customer will purchase a loaf of bread is:

Answer 1

0.1 is the probability that the next customer will purchase a loaf of bread.

Explanation:

We are given the following in the question:

Number of customers,n = 500

Number of customers that bought loaf of a bread = 50

`n(A) = 50`

Relative Frequency Approach:

• The relative frequency approach is useful when the classical approach cannot be used.

• If an experiment is performed a large number of time and a particular outcome occurs a percentage of the time, then that particular percentage is close to the probability of that outcome.

Thus, using relative frequency approach of probabilities,

P( next customer will purchase a loaf of bread) =

`=(n(A))/(n) = (50)/(500) = 0.1`

Thus, 0.1 is the probability that the next customer will purchase a loaf of bread.