Suppose we roll a fair die and let x represent the number on the die. (a) find the moment generating function of x. (b) use the moment generating function to find the first two moments. that is, find e[x] and e[x2 ].

(a)  moment generating function for X is

(b)

Step-by step explanation:

Given X represents the number on die.

The possible outcomes of X are 1, 2, 3, 4, 5, 6.

For a fair die,

(a) Moment generating function can be written as .

(b) Now, find using moment generating function

Hence, (a) moment generating function for X is .

(b)

b is 38 degrees.

a is 52 degrees.

this is because if b is 38 and a is 14 degrees more than b than 38+14=52 and 52+38=90 degrees. hope this .

logv3(x+2)=1

rewrite in exponential form:

logb(x) = y is equal to b^y =x

b = 3, y = 1

now solve for x:

3^1 = x+2)

x = 3-2

x = 1

see the picture for the graph.