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A professor has learned that four students in her class of 18 will cheat on the exam. She decides to focus her attention on seven randomly chosen students during the exam.
a. What is the probability that she finds at least one of the students cheating? (Round your intermediate calculations and final answers to 4 decimal places.)
Probability
b. What is the probability that she finds at least one of the students cheating if she focuses on eight randomly chosen students? (Round your intermediate calculations and final answers to 4 decimal places.)
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1. In the game in Exercise 6, let p = q = 1/2 and M = 10. What is the probability that the gambler's stake equals M at least 20 times before it returns to 0? 2. Write a computer program which simulates the game in Exercise 6 for the case p = q = 1/2..
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