Consider the probability mass function below: x2 – 1 f(x) = ; x = 1,2,3,4 or 5 k ; otherwise a. Solve for the value of k for the probability mass function to be legitimate. b. Construct its probability distribution (table) c. Construct its probability histogram. Jd. Solve for the expected value and variance of the random variable X.

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A: Given equation 20 = b + a

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A:

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A:

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A:

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A: Follow next step

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A: We can solve for x as below.

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Q: 6.

A:

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.