3.2 Our overworked student trudges to his 3rd exam of the day, a true/false exam with...

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3.2 Our overworked student trudges to his 3rd exam of the day, atrue/false exam with 100 questions. Again,he just guesses theanswers. Notice that this time he has a 50% chance of getting eachparticular question correct. (10 Marks: 2 Marks for each of partsa), b), c), d) and e).
a. What is the probability that the student gets at least onequestion correct?
b. What is the probability that the student gets between 15 and35 questions (inclusive) correct?
c. What is the probability that the student gets between 40 and60 questions (inclusive) correct?
d. What is the probability that the student passes the exam(gets 60 or more questions correct)?
e. Why does the student have a better chance of passing the examin question 3.2 than the one in question 3.1?

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Number of questions n 100Pcorrect answer p 05q 1 p 05a Pthe student gets at least one question correct 1 Pstudent getting all questions wrong 1 See Answer

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