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In a classroom study, it was determined that 65% of students knew the capital of all 50 states. Suppose 5 students were randomly selected from

In a classroom study, it was determined that 65% of students knew the capital of all 50 states. Suppose 5 students were randomly selected from this class. What is the probability that

a)all of them have knew all of the capital cities?

b)none of them knew all of the capital cities?

c)At least 4 knew?

d)What is the expected number of students who knew all of them? (Calculate ).

e)Interpret part (d)

f)What is the value of ?

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