corey has a bag that contains orange chews, cherry chews, and watermelon chews. he performs an experiment…

corey has a bag that contains orange chews, cherry chews, and watermelon chews. he performs an experiment. corey randomly removes a chew from the bag, records the result, and returns the chew to the bag. corey performs the experiment 54 times. the results are shown below:\na orange chew was selected 18 times.\na cherry chew was selected 4 times.\na watermelon chew was selected 32 times.\nif the experiment is repeated 1400 more times, about how many times would you expect corey to remove a watermelon chew from the bag? round your answer to the nearest whole number.

corey has a bag that contains orange chews, cherry chews, and watermelon chews. he performs an experiment. corey randomly removes a chew from the bag, records the result, and returns the chew to the bag. corey performs the experiment 54 times. the results are shown below:\na orange chew was selected 18 times.\na cherry chew was selected 4 times.\na watermelon chew was selected 32 times.\nif the experiment is repeated 1400 more times, about how many times would you expect corey to remove a watermelon chew from the bag? round your answer to the nearest whole number.

Answer

Explanation:

Step1: Calculate the experimental probability of selecting a watermelon chew

The experimental probability $P$ of an event is the number of times the event occurs divided by the total number of trials. The total number of trials in the first - stage experiment is $n = 54$. The number of times a watermelon chew was selected is $32$. So the experimental probability of selecting a watermelon chew, $P=\frac{32}{54}=\frac{16}{27}$.

Step2: Predict the number of times a watermelon chew will be selected in the new set of trials

The new number of trials is $N = 1400$. To find the expected number of times a watermelon chew will be selected, we multiply the experimental probability by the number of new trials. Let $E$ be the expected number. Then $E=\frac{16}{27}\times1400=\frac{22400}{27}\approx829.63$.

Answer:

830