ximena has a bag that contains strawberry chews, apple chews, and peach chews. she performs an experiment…

ximena has a bag that contains strawberry chews, apple chews, and peach chews. she performs an experiment. ximena randomly removes a chew from the bag, records the result, and returns the chew to the bag. ximena performs the experiment 51 times. the results are shown below:\na strawberry chew was selected 39 times.\na apple chew was selected 8 times.\na peach chew was selected 4 times.\nif the experiment is repeated 1800 more times, about how many times would you expect ximena to remove a strawberry chew from the bag? round your answer to the nearest whole number.

ximena has a bag that contains strawberry chews, apple chews, and peach chews. she performs an experiment. ximena randomly removes a chew from the bag, records the result, and returns the chew to the bag. ximena performs the experiment 51 times. the results are shown below:\na strawberry chew was selected 39 times.\na apple chew was selected 8 times.\na peach chew was selected 4 times.\nif the experiment is repeated 1800 more times, about how many times would you expect ximena to remove a strawberry chew from the bag? round your answer to the nearest whole number.

Answer

Answer:

1376

Explanation:

Step1: Calculate the probability of selecting a strawberry chew

The probability (P) of an event is given by the formula (P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}). The total number of experiments in the first - round is (n = 51), and the number of times a strawberry chew was selected is (m=39). So the probability of selecting a strawberry chew is (P=\frac{39}{51}=\frac{13}{17}).

Step2: Predict the number of times a strawberry chew is selected in 1800 experiments

If the experiment is repeated (N = 1800) times, and we assume the probability remains the same, the expected number of times a strawberry chew is selected (E) is given by (E = N\times P). Substitute (N = 1800) and (P=\frac{13}{17}) into the formula: (E=1800\times\frac{13}{17}=\frac{23400}{17}\approx1376.47). Rounding to the nearest whole number, we get (1376).