All categories

2 years ago

Unit Test

Mathematics

1 answer:

Virty [35]2 years ago

6 0

I believe it’s b because of the way that it is

You might be interested in

Let Y be a random variable with a density function given by

Neporo4naja [7]

From the given density function we find the distribution function,

$F_Y(y)=P(Y\le y)=\displaystyle\int_{-\infty}^y f_Y(t)\,\mathrm dt=\begin{cases}0&\text{for }y$

(a)

$F_{U_1}(u_1)=P(U_1\le u_1)=P(3Y\le u_1)=P\left(Y\le\dfrac{u_1}3\right)=F_Y\left(\dfrac{u_1}3\right)$

$\implies F_{U_1}(u_1)=\begin{cases}0&\text{for }u_1$

$\implies f_{U_1}(u_1)=\begin{cases}\frac{{u_1}^2}{18}&\text{for }-3\le u_1\le3\\0&\text{otherwise}\end{cases}$

(b)

$F_{U_2}(u_2)=P(3-Y\le u_2)=P(Y\ge3-u_2)=1-P(Y$

$\implies F_{U_2}(u_2)=\begin{cases}0&\text{for }u_2$

$\implies f_{U_2}(u_2)=\begin{cases}\frac32(u_2-3)^2&\text{for }2\le u_2\le4\\0&\text{otherwise}\end{cases}$

(c)

$F_{U_3}(u_3)=P(Y^2\le u_3)=P(-\sqrt{u_3}\le Y\le\sqrt{u_3})=F_Y(\sqrt{u_3})-F_y(\sqrt{u_3})$

$\implies F_{U_3}(u_3)=\begin{cases}0&\text{for }u_3$

$\implies f_{U_3}(u_3}=\begin{cases}\frac32\sqrt u&\text{for }0\le u\le1\\0&\text{otherwise}\end{cases}$

5 0

2 years ago

What is the answer for 1/2 + 1/2?

lions [1.4K]

Answer:

1 is the answer to 1/2+1/2

6 0

2 years ago

Read 2 more answers

The students in the cooking club brought sugar to class they each brought 3,4,5and 6cups of sugar respectively they divided the

geniusboy [140]

Answer:

if there is 4 students then each student gets about 4 1/2 cups of sugar.

Step-by-step explanation:

3+4+5+6=18

18/4=4.5

3 0

3 years ago

The midpoint of ab is M (-1,-1).If the coordinates of A are (3,-6),what are the coordinates of B

daser333 [38]

Answer:-3,4

Step-by-step explanation:

8 0

2 years ago

I really need help with these questions, 5 STARS AND BRAINLIEST FOR WHOEVER HAS THE BEET ANSWER!!

zvonat [6]

1) y=(7/2)x-2.
Slope is the coefficient of x, that is 7/2

Intercept x is the value of x when y = 0 ==> 0=(7/2) X - 2==> 7/2x=2 &x=4/7
so intercept x, (4/7,0)

Intercept y is the value of y when x=0 ==> y= (7/2).(0) - 2 ==> y = 2
and so intercept y, (0,-2)

Now you will follow the same logic to find the are same questions

2) y= -6x + 3 ==>Slope= -6, Intercept x =1/2 & intercept y=3

3) y=-5 has a slope 0 (it doesn't exist). The graph is a line // to x-axis at y=-5

4)y=(6/5)x + 1:==>Slope= -5/6, Intercept x =-5/6 & intercept y=1

5) y=(1/4)x + 2 ==>Slope= 1/4, Intercept x =-8 & intercept y=2

6) x=5, this ligne is // to y axis at x=-5

5 0

2 years ago