What is the range for the following random variable? At a certain bank, the amou

Question

What is the range for the following random variable? At a certain bank, the amount of time, in minutes, that a customer spends being served by a teller. [0, infinity) (- infinity, infinity) {0, 1, 2, 3,...} None of the above What is the range for the following random variable? The amount of time, in hours, that a computer functions before breaking down. [0, infinity) {0, 1, 2, 3 } {..., -3, -2, -1, 0, 1, 2, 3, } None of the above Consider the function f_X(x) = ax^2, x = 3, 4, 5 what should the value "a" be in order for the above function to be a probability mass function? Report answer to three decimal places. Answer must be within +/-0.001 of correct value.)

Explanation / Answer

(8)

[0,)

This is because it is a continuous random variable, and can take infinitely many values.

(9)

[0,)

This is because it is a continuous random variable, and can take infinitely many values.

(10)

Summation over the given domain should be equal to 1.

So,

a/9 + a/16 + a/25 = 1

This gives:

a = 4.681

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