The moment-generating function for y is given as eⁿᵇ - eⁿᵃ / n(b-a) and derivation of moment-generating function of y is e-1/t
Given that,
The interval (0, 1) is covered by a uniform distribution of y, and a > 0 is a constant.
The moment generating function is eⁿᵇ - eⁿᵃ / n(b-a)
The given interval is (0,1)
Here a =0;
b=1;
Now substitute the values of a and b in the above moment generating function we get,
y=eⁿᵇ - eⁿᵃ / n(b-a)
y=e^1-e^0/t(1-0)
y= e-1/t
Therefore, the derivation of the moment generating function is e-1/t
Learn more about moment-generating function here:
brainly.com/question/15061360
#SPJ4
Answer:
Step-by-step explanation:
<u>Given </u><u>:</u><u>-</u><u> </u>
- A quadratic equation is given to us.
- The equation is 2x² + 7x +6=0
And we need to find out the roots of the given equation. We can use the middle term splitting method to find out the roots as ,
<u>Given </u><u>equation</u><u> </u><u>:</u><u>-</u>
Step 1: <u>Find</u><u> out</u><u> the</u><u> </u><u>factors</u><u> </u><u>of </u><u>1</u><u>2</u><u> </u><u>:</u><u>-</u><u> </u>
We will choose the two factors such that their sum equals to the coefficient of x i.e. 7 .The factors are , 1×12 , 2×6 , 3×4 .
- And 3 + 4 = 7. So we will break the middle term into 3x and 4x .
Step 2 :<u> Breaking</u><u> the</u><u> </u><u>middle</u><u> term</u><u> </u><u>:</u><u>-</u><u> </u>
Step 3: <u>Take </u><u>out </u><u>common</u><u> </u><u>from </u><u>terms </u><u>:</u><u>-</u>
Step 4 : <u>Equate </u><u>them </u><u>with </u><u>0</u><u> </u><u>:</u><u>-</u><u> </u>
<u>Hence </u><u>the</u><u> </u><u>correct</u><u> </u><u>options </u><u>are </u><u>C </u><u>and </u><u>D </u><u>.</u>
X = amount of seeds.
y = amount of dried fruits.
we know the snack mix contains both, and we know is 10oz, thus
x + y = 10, whatever ounces "x" and "y" are.
how much is it for "x" ounces if each one costs $1.5? well is just 1.5*x or
1.5x.
how much is it for "y" ounces if each one costs $2.5? well is just 2.5*x or
2.5x.
the mix contains 10 ounces, each of which costs $2.2 each, how much will it be then for 10 oz? well, is just 10 * 2.2, or $22.
since the whole 10 oz snack mix costs 22 bucks, then
1.5x + 2.5y = 22.

how many ounces of dried fruit is there anyway? well, y = 10 - x.
Answer: b=2(square root of 2) and a=4
Step-by-step explanation:
Since this is a 45-45-90 triangle we know that side b is equal to
.
In a 45-45-90 triangle, the hypotenuse is equal to
this means in order to find missing side length a, we have to multiply
this will give us 4
so the missing side lengths are,
and 
Answer:
...
Step-by-step explanation: