Question

Suppose the probability of selecting a supermarket shopper who prefers plastic bags instead of paper bags is 50%. Out of 150 shoppers, how many can you expect will prefer plastic bags?(1 point)
Responses

50
50

70
70

75
75

100

1 answer

To find the expected number of supermarket shoppers who prefer plastic bags, you can use the given probability along with the total number of shoppers.

The probability of selecting a shopper who prefers plastic bags is 50%, or 0.5 in decimal form. Given that there are 150 shoppers, you can calculate the expected number of shoppers who prefer plastic bags as follows:

\[ \text{Expected number of shoppers} = \text{Total shoppers} \times \text{Probability} \]

\[ \text{Expected number of shoppers} = 150 \times 0.5 = 75 \]

Therefore, you can expect that 75 shoppers will prefer plastic bags.

The correct response is 75.