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8. John plans to make a random guess at 10 true-or-false questions. Answer the following questions:...

8. John plans to make a random guess at 10 true-or-false questions. Answer the following questions:

(a) Assume random number X is the number of correct answers John gets. As we know, X follows a binomial distribution. What is n (the number of trials), p (probability of success in each trial) and q (probability of failure in each trial)?

(b) What is the probability that she gets at least 8 correct answers? (Show work and round the answer to 4 decimal places)

(c) How many correct answers can he expect to get? (Hint : What is the expected value of the binomial distribution?) (Show work)

Math   Statistics-And-Probability   
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