Question

Suppose you draw 8 cards out of a well-shuffled deck of 52 cards, and one-by-one with re-placement, consider X as the number of spades that you obtain. Which is the distribution of X?

Answer 1

Answer:

It is a Binomial experiment with n = 8 and p = 0.25

Step-by-step explanation:

It is given that we draw 8 cards out of the well shuffled deck of 52 cards one by one replacement.

Given :

$n=8$

P (getting a spade) = $\frac{13}{52}$

                               = 0.25

As in the question, we are sampling with the replacement, so the probability of getting a spade in each draw remains the same and the all the draws are independent.

Therefore it is a Binomial experiment with n = 8 and P = 0.25