Question

Kennedy has a bag that contains strawberry chews, lemon chews, and watermelon chews. She performs an experiment. Kennedy randomly removes a chew from the bag, records the result, and returns the chew to the bag. Kennedy performs the experiment 67 times. The results are shown below:

A strawberry chew was selected 24 times.
A lemon chew was selected 31 times.
A watermelon chew was selected 12 times.

If the experiment is repeated 500 more times, about how many times would you expect Kennedy to remove a strawberry chew from the bag? Round your answer to the nearest whole number.

Answer 1

Explanation:

Since Kennedy returns the chew to the bag after each selection, this is a case of sampling with replacement. Therefore, the probability of selecting a strawberry chew is the same on every trial. We can use the proportion of strawberry chews in the first sample to estimate the probability of selecting a strawberry chew in the future:

p = 24/67 ≈ 0.358

So, the expected number of times a strawberry chew will be selected in the next 500 trials is:

E = 500 * p ≈ 179

Rounding to the nearest whole number, we can expect Kennedy to remove a strawberry chew from the bag about 179 times.