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Jack has a bag that contains orange chews, lemon chews, and lime hews. He performs an experiment. Jack randomly removes a chew from he bag, records the result, and returns the chew to the bag. Jack erforms the experiment 58 times. The results are shown below:
A orange chew was selected 9 times.
A lemon chew was selected 35 times.
A lime chew was selected 14 times.
If the experiment is repeated 500 more times, about how many times would you expect Jack to remove a lime chew from the bag? Round your answer to the nearest whole number.

Question $\newline$ Watch Video $\newline$ Show Examples $\newline$ Jack has a bag that contains orange chews, lemon chews, and lime hews. He performs an experiment. Jack randomly removes a chew from he bag, records the result, and returns the chew to the bag. Jack erforms the experiment $58$ times. The results are shown below: $\newline$ A orange chew was selected $9$ times. $\newline$ A lemon chew was selected $35$ times. $\newline$ A lime chew was selected $14$ times. $\newline$ If the experiment is repeated $500$ more times, about how many times would you expect Jack to remove a lime chew from the bag? Round your answer to the nearest whole number.

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Experiment design

Full solution

Q. Question

\newline

Watch Video

\newline

Show Examples

\newline

Jack has a bag that contains orange chews, lemon chews, and lime hews. He performs an experiment. Jack randomly removes a chew from he bag, records the result, and returns the chew to the bag. Jack erforms the experiment

58

times. The results are shown below:

\newline

A orange chew was selected

9

times.

\newline

A lemon chew was selected

35

times.

\newline

A lime chew was selected

14

times.

\newline

If the experiment is repeated

500

more times, about how many times would you expect Jack to remove a lime chew from the bag? Round your answer to the nearest whole number.

Calculate Probability: Determine the probability of selecting a lime chew based on the initial experiment. $\newline$ Jack selected a lime chew $14$ times out of $58$ total experiments. $\newline$ Probability of selecting a lime chew $=$ Number of lime chews selected $/$ Total number of experiments $\newline$ Probability of selecting a lime chew $= \frac{14}{58}$
Predict Lime Chews: Use the probability to predict the number of times a lime chew will be selected in $500$ additional experiments. $\newline$ Expected number of lime chews in $500$ experiments $= \text{Probability of selecting a lime chew} \times \text{Number of additional experiments}$ $\newline$ Expected number of lime chews in $500$ experiments $= \left(\frac{14}{58}\right) \times 500$
Calculate Expected Chews: Calculate the expected number of lime chews in $500$ experiments. $\newline$ Expected number of lime chews in $500$ experiments = $(14 / 58) \times 500$ $\newline$ Expected number of lime chews in $500$ experiments $\approx 120.69$
Round to Nearest Whole: Round the result to the nearest whole number, as the question asks for an estimate. $\newline$ Expected number of lime chews in $500$ experiments $\approx 121$ (rounded to the nearest whole number)

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