Question

He manager of a supermarket found that 72% of the shoppers who taste a free sample of a food item will buy the item. What is the expected number of shoppers that will buy the item if a random sample of 50 shoppers taste a free sample?

Answer 1

The expected number of shoppers that will buy the item if a random sample of 50 shoppers taste a free sample is 36

How to determine the expected number?

The given parameters are:

Proportion that buy after tasting, p = 72%

Sample size, n = 50

The expected number is then calculated as:

E(x) = np

So, we have:

E(x) = 50 * 72%

Evaluate

E(x) = 36

Hence, the expected number of shoppers is 36

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