Answer:
(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) 
Answer:
T' is at (-1,-8)
Step-by-step explanation:
When we translate down 4 units, we will subtract 4 from the y coordinate
T is at (-1,-4)
We need to subtract 4 from the y coordinate
T' is at (-1,-4-4)
T' is at (-1,-8)
Answer: D
Step-by-step explanation:
From the equation given , ( -3)⁰(2x⁻¹y⁻¹)²
Recall :From the laws of indicies,
x⁰ = 1 ,and (xᵃ)ᵇ = xᵃ ˣ ᵇ = xᵃᵇ. and x⁻¹ = 1/ₓ
Therefore,
(-3)⁰ = 1,
( 2x⁻¹y⁻1 )² = 2²x⁻¹ ˣ ²y⁻¹ x ²
= 2²x⁻²y⁻²
=4x⁻²y⁻²
Now going by the law above, the expression will be
=4/ₓ²y²
So the answer is D
Go on MathPapa.com. It gives you the answer and it sometimes shows steps.
Answer:
There is no missing dollar.
Step-by-step explanation:
The question adds twice the $2 kept by the bell boy. Each one paid $9, so $27 of which the room cost 25 and the bellboy kept 2. Each one received 1 dollar back. Room($25)+Bellboy($2)+Change($3)=$30
If we say 27(room)+2(bellboy) you are accounting for the tip twice