Question

3) A candy company claims that 22% of the jelly beans in its spring mix are pink. Suppose that the candies are packaged at random in bags containing about 400 jelly beans. A class of students opens several bags, counts the various colors of jelly beans, and calculates the proportion that are pink. In one bag, the students found 19% of the jelly beans were pink. a) What is the probability that a bag will contain fewer than 19% pink jelly beans? b) Is this result unusual? why or why not?

Answer 1

sh Given n=400 P=0122 ie 22%. =22 100 Q-1-1-0-22-0.78,ß-0119 P=0.22 Here P Q (0.22)(0.78) = 0·0207 n 400 9) bag tewer than Probability that the Contain 197. Pink jelly beans Pháo 1) = (24 – 473) ( when z= 0:19-0-22 0.0207 D 0-50- PROLZc1-4493) 0.50 0.4263 30.0737 2-1-4413 0.22 b) This result is not unusual the quo bability always lies the answe behween so ie pcp co-19) 20.0737 A and oco.0737C1