Answer:
a = 5.
Step-by-step explanation:
The graph here is a probability density graph. What will represent on the graph?
is the area
- between the graph and the x-axis,
- to the left of
.
The area under the graph between 0 and 9 is a trapezoid. Consider the trapezoid in three slices from left to right:
- A right triangle of area
,
- A rectangle of area
, and
- Another right triangle of area
.
The area of the leftmost triangle plus that of the rectangle is exactly 0.6. In other words, the area to the left of between the graph and the x-axis is
.
.
.
As a side note shall be the only answer to this question since the area under the graph to the left of
can only increase or stay constant but not decrease as the value of
increases.