Question

Khalil has a bag that contains strawberry chews, cherry chews, and peach chews. He performs an experiment. Khalil randomly removes a chew from the bag, records the result, and returns the chew to the bag. Khalil performs the experiment 32 times. The results are shown below:

A strawberry chew was selected 14 times.
A cherry chew was selected 4 times.
A peach chew was selected 14 times.

If the experiment is repeated 1700 more times, about how many times would you expect Khalil to remove a peach chew from the bag? Round your answer to the nearest whole number.

Answer 1

To estimate how many times Khalil would expect to remove a peach chew from the bag in 1700 more experiments, you can use the proportion of peach chews selected in the initial 32 experiments.

In the initial 32 experiments, a peach chew was selected 14 times out of 32. So, the proportion of selecting a peach chew is 14/32.

Now, you can use this proportion to estimate the number of times he would select a peach chew in 1700 more experiments:

(14/32) * 1700 = 14 * (1700 / 32) ≈ 737.5

Rounding to the nearest whole number, you would expect Khalil to remove a peach chew from the bag about 738 times in the additional 1700 experiments.