A student takes a multiple-choice exam with 15 questions, where each questions have five possible selections and the probability to answer correctly is 1/4. Suppose that the student was unable to find time to study for the exam and just guesses at each question. а) Find the probability that the student gets at least 5 questions correct. b) Assume that the student is very lucky, find the probability the student will get an B (with marks at least 60%). c) In the same exam, another student fell asleep and wakes up with 5 minutes left in the exam. What is the probability that the first question the student get right is the 5th question?

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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A student takes a multiple-choice exam with 15 questions, where each questions have five possible
selections and the probability to answer correctly is 1/4. Suppose that the student was unable to
find time to study for the exam and just guesses at each question.
a)
Find the probability that the student gets at least 5 questions correct.
b)
Assume that the student is very lucky, find the probability the student will get an B (with
marks at least 60%).
c)
In the same exam, another student fell asleep and wakes up with 5 minutes left in the exam.
What is the probability that the first question the student get right is the 5th question?
d)
Suppose the teacher changed the question format and to pass the exam, students need to
answer 6 questions correctly. what is the probability that a student answer 10 questions
correctly?
Transcribed Image Text:A student takes a multiple-choice exam with 15 questions, where each questions have five possible selections and the probability to answer correctly is 1/4. Suppose that the student was unable to find time to study for the exam and just guesses at each question. a) Find the probability that the student gets at least 5 questions correct. b) Assume that the student is very lucky, find the probability the student will get an B (with marks at least 60%). c) In the same exam, another student fell asleep and wakes up with 5 minutes left in the exam. What is the probability that the first question the student get right is the 5th question? d) Suppose the teacher changed the question format and to pass the exam, students need to answer 6 questions correctly. what is the probability that a student answer 10 questions correctly?
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