Taub has a bag that contains orange chews, apple chews, and lime chews. She performs an experiment. Taub randomly removes a chew from the bag, records the result, and returns the chew to the bag. Taub performs the experiment 69 times. The results are shown below:A orange chew was selected 57 times.A apple chew was selected 8 times.A lime chew was selected 4 times.If the experiment is repeated 2000 more times, about how many times would you expect Taub to remove a apple chew from the bag? Round your answer to the nearest whole number.Answer:
Q. Taub has a bag that contains orange chews, apple chews, and lime chews. She performs an experiment. Taub randomly removes a chew from the bag, records the result, and returns the chew to the bag. Taub performs the experiment 69 times. The results are shown below:A orange chew was selected 57 times.A apple chew was selected 8 times.A lime chew was selected 4 times.If the experiment is repeated 2000 more times, about how many times would you expect Taub to remove a apple chew from the bag? Round your answer to the nearest whole number.Answer:
Calculate Probability: Determine the probability of selecting an apple chew based on the initial experiment.Taub selected an apple chew 8 times out of 69 total selections.Probability of selecting an apple chew = Number of apple chews selected / Total number of selectionsProbability of selecting an apple chew =698
Estimate Selections in 2000 Experiments: Use the probability to estimate the number of times an apple chew would be selected in 2000 additional experiments.Expected number of times an apple chew is selected = Probability of selecting an apple chew × Number of additional experimentsExpected number of times an apple chew is selected = (8/69)×2000
Calculate Expected Selections: Calculate the expected number of times an apple chew is selected.Expected number of times an apple chew is selected = (8/69)×2000Expected number of times an apple chew is selected ≈(0.11594202898550725)×2000Expected number of times an apple chew is selected ≈231.8840579710145
Round to Nearest Whole Number: Round the result to the nearest whole number, as the question asks for an estimate.Expected number of times an apple chew is selected ≈232 (rounded to the nearest whole number)