The random variable X takes value O with probability, and value 1 with the remaining probability. The random variable Y takes value 100 with probability, and value 101 with the remaining probability. What is the relation between the variance of X and the variance of Y? Var[X] < Var[Y] Var[X] = Var[Y] Var[X] > Var[Y]

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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The random variable X takes value O with probability, and value 1 with the remaining
probability.
The random variable Y takes value 100 with probability and value 101 with the remaining
probability.
What is the relation between the variance of X and the variance of Y?
Var[X] < Var[Y]
Var[X] = Var[Y]
Var[X] > Var[Y]
"
Transcribed Image Text:The random variable X takes value O with probability, and value 1 with the remaining probability. The random variable Y takes value 100 with probability and value 101 with the remaining probability. What is the relation between the variance of X and the variance of Y? Var[X] < Var[Y] Var[X] = Var[Y] Var[X] > Var[Y] "
Expert Solution
Step 1

We have given information,

The random variable X takes value 0 with probability 13, and 1 with remaining probability.

The random variable Y takes value 100 with probability 13, and 101 with remaining probability.

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