Sixty-five percent of men consider themselves knowledgeable football fans. if 12 men are randomly selected, find the probability that exactly four of them will consider themselves knowledgeable fans.

P(x)= 0.0198

Step-by-step explanation:

Given : 65% men are knowledgeable football fans, 12 are randomly selected ,

To find :  Probability that exactly four of them will consider themselves knowledgeable fans.

Solution : Let P is the success rate = 65% = 0.65  

               Let Q is the failure rate = 100-65= 35%= 0.35

               Let n be the total number of fans selected = 12

               Let r be the probability of getting exactly four = 4

Formula used : The binomial probability

putting values in the formula we get ,

 P(x)= 0.0198

3 1/3 x 2 3/5 = 8 2/3

step-by-step explanation:

just multiply the first number by the second number to get your answer.

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step-by-step explanation: