James teaches a class of 300 students, and only 66 have done their homework assi

Question

James teaches a class of 300 students, and only 66 have done their homework assignment due today. He calls on a student at random to put a problem on the board and check to see whether he or she has done the assignment.

a) What does James consider a “success”? What is the probability of a success?

b) Define X in terms of the story. What values can X take?

c) What are the distribution and parameters of X?

d) What is the probability that the student James selects is one who has done the assignment?

Explanation / Answer

a)

James consider a success when the students have done their homework assignment due today

preobability = 66 / 300 = 0.22

b)

X can be 0,1,2,3,... 66

c)

p = 0.22

n = 300

d)

probability is 0.22

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