Question

Hello, can someone help with this problem?

The graph shows the probability distribution of a random variable.
What is the value of P(4≤X≤8)?

0.40
0.45
0.50
0.55

Answer 1

Answer:

P(5 ≤ X ≤ 8)  = a  rectangle  with a width of 3  and height of .15   = 3(.15)  = .45

 

P( 4 ≤ X ≤ 5)  =  a triangle  with a base of 1  and a height of (0.15 -0.05) = .10

So....this area  =   (1/2)(1)(.10)  = .05

 

And  another rectangle with a width of 1 and height of .05  = (1) (.05) = .05

 

So

 

Adding these areas

 

P( 4 ≤ X ≤ 8 )  =  .45 + .05 + .05   =  .55

Step-by-step explanation:

Hoped this helped!