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