In a valid probability distribution, each probability must be between 0 and 1,inclusive, and the probabilities must add up to 1. If a probability distribution5has probabilities1,112, and x, what is the value of X?

Given:

The probability distribution is given by,

To find:

The value of x.

Explanation:

We know that,

The probabilities must add up to 1.

So, we write

Solving for x we get

Therefore, the value of x is,

Final Option D

The value of x is,

pentagon

step-by-step explanation:

the coordinates   a(5, -2), b(3,-1),c(-4,-4) d(-3,8) and e(-1,4) forms the vertices of the polygon when they are connected in order.

in order to classify that which polygon is it with the given coordinates, first count the number of vertices and then count the number of sides it can make with these vertices.

since, the given coordinates have five vertices, therefore, it will make five sides. moreover, pentagon is regular in nature therefore it will be convex.

now, a polygon with five sides is known as pentagon, therefore, the given polygon is the pentagon.

here is the

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