In the inequality 1/ 2 x - 6 > 10, x represents Todd's age. Which phrase most accurately describes Todd's age? A) Todd is old
1 answer:
You might be interested in
The question is incomplete. The complete question is :
Let X be a random variable with probability mass function
P(X =1) =1/2, P(X=2)=1/3, P(X=5)=1/6
(a) Find a function g such that E[g(X)]=1/3 ln(2) + 1/6 ln(5). You answer should give at least the values g(k) for all possible values of k of X, but you can also specify g on a larger set if possible.
(b) Let t be some real number. Find a function g such that E[g(X)] =1/2 e^t + 2/3 e^(2t) + 5/6 e^(5t)
Solution :
Given :
a). We know :
So,
Therefore comparing both the sides,
Also,
b).
We known that
∴
Therefore on comparing, we get
∴