Textbook ExpertVerified Tutor
29 Oct 2021
Given information
Given, a bridge hand is defined as 13 cards selected at random and without replacement from a deck of 52 cards. In a standard deck of cards, there are 13 cards from each suit: hearts, spades, clubs, and diamonds. X is a hand that does not contain a heart. Then we have to find the (i) mean and (ii) standard deviation of X.
Step-by-step explanation
Step 1.
According to the given information, X follows a binomial distribution.
We have N=52, n=13, k=39
Then the PDF is given by,
Mean will be,
The variance will be,
Standard deviation will be, 
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Introductory Statistics
OER Edition, 2013
Openstax
ISBN: 9781938168208
Solutions
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