X, is assumed to be a random variable by placing letters of the word “YACHT” in a bowl. If these letters are withdrawn then it gets replaced. A value of 1 is given when a vowel is retrieved, and a value of 2 is given when a consonant is retrieved while a value of 3 is given to all other retrieved letters.

 Are the following answers correct?

  1. Write the sample space on which X is defined? S = {0 and 1}
  2. Construct a probability distribution of X. 

 

Letter, X

Y

A

C

H

T

Probability, PX

4/5

1/5

4/5

4/5

4/5

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