Question

In: Statistics and Probability

A special deck of 45 cards has 15 cards with a picture of a ghost, 15...

A special deck of 45 cards has 15 cards with a picture of a ghost, 15 cards with a picture of a goblin, and 15 cards with a picture of a witch.

a. 8 cards are picked in a row without replacement from this special deck. Let X be the number of cards which are picked and have a picture of a ghost. Find E(X) and V ar(X).

b. Repeat part a, but suppose 20 cards are picked instead of 8.

c. Repeat part a, but suppose 45 cards are picked instead of 8

Solutions

Expert Solution

there are 45 cards,

the no. of cards with the picture of ghost

therefore the proportion of cards with the picture of ghost

Let X be the no. of cards which are picked and have the picture of ghost.

a)

8 cards are picked randomly without replacement.

hence,

b)

20 cards are picked randomly without replacement.

in this case,

hence,

c)

45 cards are picked randomly without replacement.

in this case,

hence,

orchestra answered 2 years ago
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