A student will keep guessing answers for a problem until he gets the right answer. Assume...
A student will keep guessing answers for a problem until he gets the right answer. Assume that the correctness of each answer he gives is independent of his other answers. There is a 30% chance that an answer will be correct. Let X be the number of incorrect answers the student guesses. Note that X is a geometric random variable.
Determine the probability that the student makes exactly 3 incorrect guesses before getting the right answer.
Determine the probability that it takes more than 3 incorrect guesses before getting the right answer. Hint: use the complement rule.
Determine E(X).
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