Discussion Problem_ (6)

[duck]

Q1) Consider two random variables X and Y, each taking values in {1, 2, 3}. Let their joint PMF be such that for any 1 ≤ x, y ≤ 3,
Pr (X = x, Y = y) = f(x, y) = 0,  if (x, y) ∈ {(1, 3), (2, 1), (3, 2)}
Pr (X = x, Y = y) = f(x, y) > 0,  otherwise
Then,
(i) X and Y can be independent or dependent depending upon the strictly positive values.
(ii) X and Y are always independent.
(iii) X and Y can never be independent.

[maahi]

u hv posted it b4

[duck]

Oh yes!
Sorry.. Try out these two.. :)

Q1)In how many different ways can the letters of the word 'CORPORATION' be arranged so that the vowels always come together?

Q2)Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed?

[Sumit]

1)7!/2!*5!/3!
2)7C3*4C2*5!

[duck]

Correct Answers Sumit.. :)