Question 1122258: Edy grows carrots. At the end of the season the carrots are large and old and have to be sold off cheaply.
X is the random variable for the weight of one carrot in grammes. The expected value of X is E(X) = 450 and the variance Var(X) is 9.
Edy makes up bags of the old carrots by putting 13 carrots into each bag.
Let Y be the random variable for the total weight, in grammes, of the 13 carrots in a bag. Calculate the expected value of Y, E(Y), and the standard deviation of Y, SD(Y), and enter your answers below.
The expected value of Y is E(Y) = Answer for part 1
If we assume that the weights of each of the carrots are independent of each other, then the standard deviation of Y is SD(Y) = Answer for part 2
(to 1 d.p.)
(Just put in the values, with no units.)
Thank you so much for the help
Answer by Boreal(15235)   (Show Source):
You can put this solution on YOUR website! E(X)=450
sd(X)=3, sqrt of var (X)
weight of 13 grams of carrots would have and E(X) of 13*450=5850
sd of this would be 13*sqrt(Var)=39
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