In: Statistics and Probability
Isabel is taking a multiple-choice question quiz. The quiz has 7 questions and each question has 4 possible answers (only one of them is a correct answer). Since she didn’t study at all, she will guess all the questions. Let X be the random variable representing the number of answers she’ll guess correctly.
(3 pts) What values does X take on?
(4 pts) Calculate the probability that she guesses 2 questions correctly.
(4 pts) Calculate the probability of passing the quiz. She needs to guess at least 5 questions correctly to pass the quiz. .(show steps and if calculator was used)