imafabulouskitten
imafabulouskitten imafabulouskitten
  • 02-11-2020
  • Mathematics
contestada

HELP, I’M STUCK !
Problem: If X is a random variable with the (continuous) distribution shown below, find (4 decimal accuracy) P (X > 2). Please show work.

HELP IM STUCK Problem If X is a random variable with the continuous distribution shown below find 4 decimal accuracy P X gt 2 Please show work class=

Respuesta :

LammettHash
LammettHash LammettHash
  • 02-11-2020

Since P(X = x) = 0.3 for all 0 ≤ x ≤ α, we have

[tex]\displaystyle\int_{-\infty}^\infty P(X=x)\,\mathrm dx=1\implies0.3\int_0^\alpha\mathrm dx=0.3\alpha=1\implies\alpha=\dfrac{10}3[/tex]

So,

[tex]P(X>2) = \displaystyle\int_2^\infty P(X=x)\,\mathrm dx=0.3\int_2^{\frac{10}3}\mathrm dx[/tex]

[tex]P(X>2)=0.3\left(\dfrac{10}3-2\right)=\boxed{\dfrac25}[/tex]

Answer Link

Otras preguntas

what is 6,389 divided by 27
How do you drown a blonde?
Amara and Nikhil walk home from school together every day. Amara's walk is 5/8 of a mile. Nikhil's walk is 1 1/2 miles. How many times as far as Amara did Nikhi
Which of these would be least important to include in a summary of this article? A. Rodrigo learned to play piano in Temecula, California. B. Rodrigo's emotiona
Which word best fills in the blank? The height of land above sea level is called altitude or O plateau O elevation Olatitude O direction
Why is Britney Spears insane? I’m graduated so my points are up for grabs cause I’ll never use them. I have to at least as a question with it though.
What happens to earnings in a cooperative?
Mrs. Bowlin organized the glue sticks into 7 bins. How many glue sticks were in each bin? ANSWER QUICKLY PLEASE ANYONE
why did el patron save matt’s brain in the first place
5+2 I’m graduated so my points are up for grabs cause I’ll never use them. I have to at least as a question with it though.