A multiple choice examination has 20 questions. One point is awarded for each correct answer and 0.2 points deducted for each incorrect answer. The chance that a student attempts an answer to each question is 0.9 with questions being independent of one another. Experience also shows that if a student attempts a question, they will get the correct answer with probability 0.8. (a) Find the probability that a randomly selected student attempts y questions.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
icon
Related questions
Question
Kindly solve firts three parts correctly in the order to get positive feedback
4. A multiple choice examination has 20 questions. One point is awarded for each correct answer and 0.2 points
deducted for each incorrect answer. The chance that a student attempts an answer to each question is 0.9 with
questions being independent of one another. Experience also shows that if a student attempts a question, they
will get the correct answer with probability 0.8.
(a) Find the probability that a randomly selected student attempts y questions.
(b) Find the probability that a randomly selected student obtains a grade of 18 or more.
(c) What is the probability that a student who received a grade of 18 or more answered all 20 questions?
(d) Confirm your answers to (b) and (c) using R as follows: Consider a sample of 1000 students, generate a
Transcribed Image Text:4. A multiple choice examination has 20 questions. One point is awarded for each correct answer and 0.2 points deducted for each incorrect answer. The chance that a student attempts an answer to each question is 0.9 with questions being independent of one another. Experience also shows that if a student attempts a question, they will get the correct answer with probability 0.8. (a) Find the probability that a randomly selected student attempts y questions. (b) Find the probability that a randomly selected student obtains a grade of 18 or more. (c) What is the probability that a student who received a grade of 18 or more answered all 20 questions? (d) Confirm your answers to (b) and (c) using R as follows: Consider a sample of 1000 students, generate a
Expert Solution
steps

Step by step

Solved in 4 steps

Blurred answer
Similar questions
Recommended textbooks for you
A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability
A First Course in Probability
Probability
ISBN:
9780321794772
Author:
Sheldon Ross
Publisher:
PEARSON