PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!Use the probability distribution graph to answer the question.P(X ≤ a) = 0.6What is the value of a?

Answer:a = 5.Step-by-step explanation:The graph here is a probability density graph. What will represent [tex]P(X\le a)[/tex] on the graph?[tex]P(X\le a)[/tex] is the area between the graph and the x-axis, to the left of [tex]a[/tex].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 [tex]\displaystyle \frac{1}{2}\times 0.2\times 4 = 0.4[/tex],A rectangle of area [tex]0.2 \times (5 - 4) = 0.2[/tex], andAnother right triangle of area [tex]\displaystyle \frac{1}{2} \times 0.2 \times (9 - 5) = 0.4[/tex].The area of the leftmost triangle plus that of the rectangle is exactly 0.6. In other words, the area to the left of [tex]a = 5[/tex] between the graph and the x-axis is [tex]0.6[/tex]. [tex]P(X \le 5) = 0.6[/tex]. [tex]a = 5[/tex]. As a side note [tex]a = 5[/tex] shall be the only answer to this question since the area under the graph to the left of [tex]a[/tex] can only increase or stay constant but not decrease as the value of [tex]a[/tex] increases.