Answer:
a. 
.
b. 
Step-by-step explanation:
By the definition, the expected value of a random variable X with probability mass function p is given by 
where the sum runs over all the posible values of X. Given a function g, the random variable Y=g(X) is defined. Note that the function g induces a probability mass function P' given by P'(Y=k) = P(X=g^{-1}(k)) when the function g is bijective.
a. Note that for 1/3ln(2)+1/6ln(5) by choosing the function g(x) = ln(x) the expression coincides with E(g(x)), because if Y = g(x) then E(Y) = P'(Y=1)*ln(1)+P'(Y=2)*ln(2)+P'(Y=5)*ln(5) = P(X=1)*ln(1)+P(X=2)*ln(2)+P(X=5)*ln(5).
b. On the same fashion, the function g(x) = xe^{xt} fullfills the expression of E[g(X)]
Find the proportional relationship in a unit rate.
x:y
Put in x and y.
60:25
Divide both sides by 5.
12:5
So, every 5 units of y, there are 12 units of x.
Put the new y into proportion.
x:30
There are 5 extra units of y.
All you need to do is add 12 to the previous x.
60+12= 72
x=72
I hope this helps!
~kaikers
Answer:
B = 2 grams
Step-by-step explanation:
B = 1/8 m 2/3
Substitute 64 for the m
B = 1/8 (64)2/3
B = 1/8 (16) Do 64 to the 2/3 power first
B = 2 grams Multiply 16 by 1/8
