use the probability distribution graph to answer the question. $p(xgeq a)=0.5$ what is the value of a? enter…

use the probability distribution graph to answer the question. $p(xgeq a)=0.5$ what is the value of a? enter your answer in the box.

use the probability distribution graph to answer the question. $p(xgeq a)=0.5$ what is the value of a? enter your answer in the box.

Answer

Explanation:

Step1: Understand the probability meaning

The probability $P(X\geq a) = 0.5$ means that the area under the probability - distribution curve to the right of $x = a$ is $0.5$.

Step2: Analyze the graph

The total area under the probability - distribution curve is $1$. The graph is symmetric about the vertical line $x = 3$. The area to the right of $x = 3$ is $0.5$.

Answer:

$3$