Two unfair dice are rolled independently. The first has 0.5 probability of landing on a 6,with equal probability for the other f
aces. The second has 0.1 probability of landing on a 1,with equal probability for the other faces.LetXbe the sum of the numbers appearing on the two dice, and letYbe the product.Compute the following, leaving your answer as a single decimal number:(a)E(X)(b)E(Y)(c)V(X)Note:Calculator use is allowed.
1 answer:
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we can factor the whole thing:
(2sin(x) -1)(sin(x)+1) = 0.
Therefore, sin(x) = -1 and sin(x) = 1/2.
For the first one x = 3π/2 and the second is π/6 and 5π/6
So 3π/2, π/6 and 5π/6 are the solutions.
I do kind of have a problem with this because it doesn't mention if you should go over 360°. Otherwise, you have to add in an 2nπ into the equations like 3π/2 + 2nπ;
but I don't know if that is necessary for you.