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제목 [Jason Lee] 2008 MCQ #16
AP Statistics 38
작성자 eri*** 등록일 2018-05-03 오전 12:04:32

이거 답이 왜 이렇게 나오는지 모르겠고 강의 순번도 맞는지 모르겠어요..

10 percent of all Dynamite Mints candies are orange and 45 percent of all Holiday Mints candies are orange. Two independent random samples, each of size 25, are selected - one from Dynamite Mints candies and the other from Holiday Mints candies. The total number of oragne candies in the two samples is observed. What are the expected total number of orage candies and the standard deviation for the total number of orange candies, respectively, in the two samples?

답은 13.75 and 2.905 입니다.

풀이 설명 부탁드려요! 감사합니다

2018-05-03 오전 10:32:35

10 percent of all Dynamite Mints candies are orange and 45 percent of all Holiday Mints candies are orange. Two independent random samples, each of size 25, are selected - one from Dynamite Mints candies and the other from Holiday Mints candies. The total number of oragne candies in the two samples is observed. What are the expected total number of orage candies and the standard deviation for the total number of orange candies, respectively, in the two samples?

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please specify where you encountered this problem? 

but essentially this is a random variable summation problem.

# of dynamite mints = D

# of Holiday mints = H

then T = D + H

so V(T) = V(D) + V(H)

for V(D), use npq, so for D it would be 0.1*0.9*25

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