Question: QUESTION 3 A student takes a 10 questions multiple-choice exam, with four choices per question. Suppose the student makes an educated guess on all the

QUESTION 3 A student takes a 10 questions multiple-choice exam, with four choices per question. Suppose the student makes an "educated" guess on all the 10 questions. Let X be the event of getting the right answers. i) Find the expected number of correct answers. (2 marks) ii) Find the probability of getting 7 right answers. (2 marks) iii) Calculate the probability that not more than 2 questions are answered wrongly. (3 marks) CONFIDENTIAL CS/JULY2021 /STA116/NDZ QUESTION 4 In a week, the average of students who got sick during final examination is 2. Find; i) The probability that less than one student who got sick in a week? (3 marks) ii) The probability that between 2 to 5 students who got sick in a month? (3 marks) iii) Using approximation method, find the probability at least 10 students who got sick during final examination in 5 months

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