Score : O of 1 pt
1 1 of 12 ( 7 complete ) +
HW Score : 58.33% , 7 of 12 pts
5. 2. 43
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If we sample from a small finite population without replacement , the binomial distribution should not be used because the events are not independent . If sampling is done without replacement and
the outcomes belong to one of two types , we can use the hypergeometric distribution . If a population has A objects of one type , while the remaining B objects are of the other type , and if n objects
are sampled without replacement , then the probability of getting x objects of type A and M - * objects of type B under the hypergeometric distribution is given by the following formula . In a lottery*
game , a better selects four numbers from 1 to 52 ( without repetition ) , and a winning four -number combination is later randomly selected . Find the probabilities of getting exactly two winning
numbers with one ticket . ( Hint : Use A = 4 , B = 48 , 17 = 4 , and * = 2. )
A !
B !
( A + B ) !`
P( x ) = [A - X )!X ! ( B - 17 + X ) ! ( 7 - X) !" ( A + B - 1) In !
P ( 2) = [ ]
( Round to four decimal places as needed . )