Question

X, is assumed to be a random variable by placing letters of the word “YACHT” in a hat. If these letters are withdrawn then it gets replaced.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.


Which value should be assigned to the letter “Y” since it can be a vowel or consonant?

Write down the sample space for X variable.

Answer 1

Since "Y" can be either, I would assign it to "all other retrieved letters."

Answer 2

Thank you PsyDAG.

Can we write the sample space as given below:

S = {Y3, A1, C2, H2 and T2}.