Answer:
M₀ (t) = p / e^-t -q = p (e^-t -q) ^ -1
Step-by-step explanation:
Let the random variable Y have a geometric distribution g (y;p) = pq y-¹
The m.g.f of the geometric distribution is derived as below
By definition , M₀ (t) = E (e^ ty) = ∑ (e^ ty )( q ^ y-1)p ( for ∑ , y varies 1 to infinity)
= pe^t ∑(e^tq)^y-1
= pe^t/1- qe^t, where qe^t <1
In order to differentiate the m.g.f we write it as
M₀ (t) = p / e^-t -q = p (e^-t -q) ^ -1
M₀` (t) = pe^-t (e^-t -q) ^ -2 and
M₀^n(t) = 2pe^-2t (e^-t -q) ^ -3 - pe^-t (e^-t -q) ^ -2
Hence
E (y) = p (1-q)-² = 1/p
E (y²) =2 p (1-q)-³ - p (1-q)-²
= 2/p² - 1/p and
σ² = [E (y²) -E (y)]²
= 2/p² - 1/p - (1/p)²
= q/p²
-5 is the correct answer hope that helped you goodluck because i don’t know it lol so okay smell my butt
Answer:
The answer is
<h2>

</h2>
Step-by-step explanation:
From the question
is inversely proportional to
is written as
<h2>

</h2>
where k is the constant of proportionality
When
<h3>
= 4</h3><h3>
= 9</h3>
Substituting the values into the formula
we have

cross multiply
k = 4 × 9
k = 36
So the formula for the variation is
= - 72
That's

Simplify
We have the final answer as
<h3>

</h3>
Hope this helps you
Answer:
A) The point( -1 , 5) is satisfies the given graph 
B) The point( 3 , 1/125) is satisfies the given graph 
Step-by-step explanation:
<u><em>Explanation:-</em></u>
Given graph
y = 
Put the point ( -1 , 5)
Put y =5 and x =-1

The point( -1 , 5) is satisfies the given graph
ii)
Given graph
y = 

The point( 3 , 1/125) is satisfies the given graph 
I am 100% sure it is A. I did the test and it showed it was A.
Please leave a thanks.