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Elizabeth has a bag that contains orange chews, lemon chews, and lime chews. She performs an experiment. Elizabeth randomly removes a chew from the bag, records the result, and returns the chew to the bag. Elizabeth performs the experiment 68 times. The results are shown below: A orange chew was selected 44 times. A lemon chew was selected 17 times. A lime chew was selected 7 times. If the experiment is repeated 1800 more times, about how many times would you expect Elizabeth to remove a orange chew from the bag? Round your answer to the nearest whole number. Answer:

Elizabeth has a bag that contains orange chews, lemon chews, and lime chews. She performs an experiment. Elizabeth randomly removes a chew from the bag, records the result, and returns the chew to the bag. Elizabeth performs the experiment 6868 times. The results are shown below:\newlineA orange chew was selected 4444 times.\newlineA lemon chew was selected 1717 times.\newlineA lime chew was selected 77 times.\newlineIf the experiment is repeated 18001800 more times, about how many times would you expect Elizabeth to remove a orange chew from the bag? Round your answer to the nearest whole number.\newlineAnswer:

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Q. Elizabeth has a bag that contains orange chews, lemon chews, and lime chews. She performs an experiment. Elizabeth randomly removes a chew from the bag, records the result, and returns the chew to the bag. Elizabeth performs the experiment 6868 times. The results are shown below:\newlineA orange chew was selected 4444 times.\newlineA lemon chew was selected 1717 times.\newlineA lime chew was selected 77 times.\newlineIf the experiment is repeated 18001800 more times, about how many times would you expect Elizabeth to remove a orange chew from the bag? Round your answer to the nearest whole number.\newlineAnswer:
  1. Determine Probability: Determine the probability of selecting an orange chew based on the initial experiment.\newlineTo find the probability, we divide the number of times an orange chew was selected by the total number of experiments.\newlineProbability of selecting an orange chew == Number of orange chews selected // Total number of experiments\newlineProbability of selecting an orange chew =4468= \frac{44}{68}
  2. Calculate Decimal Probability: Calculate the probability as a decimal. 44/68=0.647144 / 68 = 0.6471 (rounded to four decimal places for accuracy in further calculations)
  3. Estimate Selections in Additional Experiments: Use the probability to estimate the number of times an orange chew will be selected in the additional 18001800 experiments.\newlineExpected number of times an orange chew is selected = Probability of selecting an orange chew ∗* Number of additional experiments\newlineExpected number of times an orange chew is selected = 0.6471×18000.6471 \times 1800
  4. Perform Multiplication: Perform the multiplication to find the expected number of times an orange chew will be selected. 0.6471×1800≈1164.780.6471 \times 1800 \approx 1164.78
  5. Round to Nearest Whole Number: Round the result to the nearest whole number, as the question asks for an estimate.\newlineRounded result = 11651165

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