+595 
The graph shows a probability distribution.
Which probabilities are equal to 0.25?
P(X≥5)
P(3≤X≤4)
P(X≤2)
P(2≤X≤3)
The graph shows a probability distribution.
What is P(X<3)?
0.25
0.3
0.375
0.6
+129849 First one....we have a trapezoid.....
The area of a trapezoid is
height/ 2 * ( sum of base lengths)
So we have......
.25 / 2 * ( 6 + 2) = 8/8 = 1 unit^2
And we are looking for areas = .25 of this =1/4 of this = .25 units^2
P( x ≥ 5) = area of a triangle with base = 1 and height .25/2
Area (1/2)base * height = (1/2) * 1 (.25 /2) = .25/ 4 = .0625 No
P ( 3 ≤ x ≤ 4) = Area of rectangle = .25 * 1 = .25 Yes (1)
P ( x ≤2 ) = Triangle with base of 2 and height of .25 =
(1/2)(2) * .25 = .25 Yes
P ( 2 ≤ x ≤ 3)....same area as (1) = .25
So....only the first answer is incorrect
+129849 Area of trapezoid =
height / 2 * (sum of base lengths) =
(2/10) / 2 * ( 8 + 2) =
(2/20) * 10 =
20/20 =
1 square unit = Total Area
P ( x ≤ 3)
We have a trangle with a height of (2/10) and base = 3
Area = (1/2)(3)(2/10) = 3 / 10
So....P ( x ≤ 3) = ( Area of triangle) / (Total Area ) =
(3/10) / 1 = 3/10 = 0.3
