If the probability is P(X ≥ a) = P(X ≤ a) = 0.5. Then for this distribution, the value of a will be 3.
What is a normal distribution?
The Gaussian Distribution is another name for it. The most significant continuous probability distribution is this one. Because the curve resembles a bell, it is also known as a bell curve.
The graph is given below.
We have
P(X ≥ a) = 0.5
The PDF plot reveals that the distribution is homogeneous. This indicates that the mean and median are the same, and that half of the population falls from the other side of the midline, i.e.
P(X ≥ a) = P(X ≤ a) = 0.5
For this distribution, the value of a will be 3.
More about the normal distribution link is given below.
https://brainly.com/question/12421652
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