Use the probability distribution graph to answer the question. p(x≥a)=0.5 what is the value of a?

a is the middle point on x-axis = 3

Step-by-step explanation:

On probability distribution graph, P(x≥a) means area under the curve from x=a to x=6.

On a probability distribution graph, the entire area under curve =1

But we are given that P(X≥a) is 0.5 which is half of 1.

And we are given with a normal distribution graph which has center at x=3.

Hence half of the area means area from x=3 to x=6 which is nothing but P(X≥3).

Therefore a is 3.

We can also check it by finding area under curve from x=3 to x=6.

Area under curve from x=3 to x=6 can spitted into a rectangle and a triangle.

Rectangle area = (5-3)X0.2=0.4

Triangle area=

Hence total area from x=3 to x=6 is 0.4+0.1=0.5

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step-by-step explanation:

the correct answer is d

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