Question

# Example Question with answer, My problem is at the bottom. Fill in the P(X = ﻿x)...

Example Question with answer, My problem is at the bottom.

Fill in the P(X = ﻿x) values in the table below to give a legitimate probability distribution for the discrete random variable X, whose possible values are −6, 2, 3, 5, and 6.

Value x of X: -6, 2, 3, 5, 6

P(X=x): 0.25, 0.21, 0.13, __, __

EXPLANATION

The values that the discrete random variable X

may take are −6, 2, 3, 5, and 6. Thus, it must be that P(X= -6)+P(X=2)+P(X=3)+PX=5)+P(X=6) = 1, with 0 < equal to sign P(X=x) < equal to sign 1 for x = -6, 2, 3, 5, 6

From the information given, we have 0.25+0.21+0.13+P(X=5)+P(X=6) = 1,

which means that P(X=5)+P(X=6) = 1-(0.25+0.21+0.13) =0.41.

To complete the probability distribution, then, we must choose P (X=5) and P(X=6) to be any numbers from 0 to 1 such that P(X-5)+P(X=6) = 0.41

.

For example, we could choose P(X=5) = 0.17 and P(X=6) = 0.24

One correct answer is:

Value x of X: -6, 2, 3, 5, 6

P (X=x): 0.25, 0.21, 0.13, 0.17, 0.24

My problem that I am having trouble with:

Fill in the P(X=x) values in the table below to give a legitimate probability distribution for the discrete random variable X, whose possible values are −3, 0, 1, 5, and 6.

Value x of X: -3, 0, 1, 5, 6

P(X = x): 0.12, 0.27, 0.16, __, __

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