In an exam, there are 5 questions to be answered as either true or false. A good answer gives 2 points, and a bad answer is marked as -1 point. A student who has not prepared for his exam decided to answer these 5 questions at random. Let X be the mark that this student will get. (a) Give the discrete support of the random variable X (that is the set of all possible results (b) What is the probability mass function of X? (c) Calculate P(X > 5).

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
Topic Video
Question
100%
In an exam, there are 5 questions to be answered as either true or false. A
good answer gives 2 points, and a bad answer is marked as -1 point. A student who has
not prepared for his exam decided to answer these 5 questions at random. Let X be the
mark that this student will get.
(a) Give the discrete support of the random variable X (that is the set of all possible results)
(b) What is the probability mass function of X?
(c) Calculate P(X > 5).
Transcribed Image Text:In an exam, there are 5 questions to be answered as either true or false. A good answer gives 2 points, and a bad answer is marked as -1 point. A student who has not prepared for his exam decided to answer these 5 questions at random. Let X be the mark that this student will get. (a) Give the discrete support of the random variable X (that is the set of all possible results) (b) What is the probability mass function of X? (c) Calculate P(X > 5).
Expert Solution
steps

Step by step

Solved in 4 steps

Blurred answer
Knowledge Booster
Discrete Probability Distributions
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE 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