+0

Help plz.

+1
188
2
+593

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

Mar 12, 2018

#1
+94618
+2

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

Mar 12, 2018
#2
+94618
+2

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

Mar 12, 2018