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:
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 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:
Calculate Probability: First, we need to determine the probability of selecting a lime chew based on the initial 76 trials.Probability of selecting a lime chew = Number of times a lime chew was selected / Total number of trialsProbability of selecting a lime chew =7635
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 700 times.Expected number of lime chews = Probability of selecting a lime chew × Number of additional trialsExpected number of lime chews = (35/76)×700
Calculate Expected Number: Now, we perform the calculation to find the expected number of lime chews.Expected number of lime chews = (35/76)×700≈322.37Since we need to round to the nearest whole number, we round 322.37 to 322.
Conclusion: Finally, we conclude that if the experiment is repeated 700 more times, we would expect Rahul to remove a lime chew from the bag approximately 322 times.