In a multiple-choice exam, there are 20 questions and each question has 3 choices. Say someone is totally unprepared and randomly chooses answers. Let Y be the number of questions he/she guesses...

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In a multiple-choice exam, there are 20 questions and each question
has 3 choices. Say someone is totally unprepared and randomly chooses answers. Let Y be the number of questions he/she guesses correctly.
(a) What is the distribution of Y ? (its name and parameters are expected)
(b) Find P(Y = 6).
(c) Find P(Y ≤ 6).
(d) Find P(Y > 6).
(For questions (b), (c), (d), please write down the formulae for computation,
and R commands; first. Then, provide the numerical answers from your R
or RStudio outputs).

Answered Same DaySep 10, 2022

Answer To: In a multiple-choice exam, there are 20 questions and each question has 3 choices. Say someone is...

Himanshu answered on Sep 11 2022
73 Votes
Assignment 110303
Assignment 110303
Question: In a multiple-choice exam, there are 20 questions, and each question has 3 choices. Say someone is totally unprepared and randomly chooses answers. Let Y be the number of questions he/she guesses correctly. What is the distribution of Y? Find P(Y = 6), P(Y ≤ 6) and P(Y > 6).
Answer: There are 20 questions. Each question has 3 choices, out of which only one is correct....
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