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Rahul has a bag that contains strawberry chews, cherry chews, and lime chews. He performs an experiment. Rahul randomly removes a chew from the bag, records the result, and returns the chew to the bag. Rahul performs the experiment 76 times. The results are shown below:
A strawberry chew was selected 33 times.
A cherry chew was selected 8 times.
A lime chew was selected 35 times.
If the experiment is repeated 700 more times, about how many times would you expect Rahul to remove a lime chew from the bag? Round your answer to the nearest whole number.
Answer:

Rahul has a bag that contains strawberry chews, cherry chews, and lime chews. He performs an experiment. Rahul randomly removes a chew from the bag, records the result, and returns the chew to the bag. Rahul performs the experiment 7676 times. The results are shown below:\newlineA strawberry chew was selected 3333 times.\newlineA cherry chew was selected 88 times.\newlineA lime chew was selected 3535 times.\newlineIf the experiment is repeated 700700 more times, about how many times would you expect Rahul to remove a lime chew from the bag? Round your answer to the nearest whole number.\newlineAnswer:

Full solution

Q. Rahul has a bag that contains strawberry chews, cherry chews, and lime chews. He performs an experiment. Rahul randomly removes a chew from the bag, records the result, and returns the chew to the bag. Rahul performs the experiment 7676 times. The results are shown below:\newlineA strawberry chew was selected 3333 times.\newlineA cherry chew was selected 88 times.\newlineA lime chew was selected 3535 times.\newlineIf the experiment is repeated 700700 more times, about how many times would you expect Rahul to remove a lime chew from the bag? Round your answer to the nearest whole number.\newlineAnswer:
  1. Calculate Probability: First, we need to determine the probability of selecting a lime chew based on the initial 7676 trials.\newlineProbability of selecting a lime chew == Number of times a lime chew was selected / Total number of trials\newlineProbability of selecting a lime chew == 3576\frac{35}{76}
  2. Estimate Lime Chews: Next, we use the probability to estimate the number of times a lime chew would be selected if the experiment is repeated 700700 times.\newlineExpected number of lime chews = Probability of selecting a lime chew ×\times Number of additional trials\newlineExpected number of lime chews = (35/76)×700(35 / 76) \times 700
  3. Calculate Expected Number: Now, we perform the calculation to find the expected number of lime chews.\newlineExpected number of lime chews = (35/76)×700322.37(35 / 76) \times 700 \approx 322.37\newlineSince we need to round to the nearest whole number, we round 322.37322.37 to 322322.
  4. Conclusion: Finally, we conclude that if the experiment is repeated 700700 more times, we would expect Rahul to remove a lime chew from the bag approximately 322322 times.

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