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 If these letters are withdrawn then it gets replaced.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.
Write down the sample space for X variable.
Can we write the sample space as given below:
Since Y-2, A-1, C-2, H-2, T-2
Sample space = {1 and 2}.
To write down the sample space for the X variable, we need to list all possible outcomes.
In this case, we have the word "YACHT" and we are drawing letters from a hat and then replacing them.
Let's consider each letter and the corresponding values assigned to them:
Y - 2 (consonant)
A - 1 (vowel)
C - 2 (consonant)
H - 2 (consonant)
T - 2 (consonant)
To find the sample space, we need to consider all possible outcomes when drawing a letter from the hat. In this case, we have three possible outcomes: 1 (vowel), 2 (consonant), and 3 (other letters).
Therefore, the sample space for the X variable is {1, 2, 3}, not just {1 and 2}.