CA Foundation Exam  >  CA Foundation Questions  >  Probability mass function is alwaysa)0b)great... Start Learning for Free
Probability mass function is always
  • a)
    0
  • b)
    greater than 0
  • c)
    greater than equal to 0
  • d)
    less than 0
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Probability mass function is alwaysa)0b)greater than 0c)greater than e...
Probability mass function (PMF) is a function that maps every possible outcome of a discrete random variable to a probability. It is used to describe the distribution of the random variable.

PMF is always greater than or equal to 0 because probabilities cannot be negative. If a PMF is negative for any value of the random variable, it would imply a negative probability, which is not possible.

Explanation:

Probability is a measure of the likelihood of an event occurring. It ranges from 0 to 1, where 0 indicates that the event is impossible, and 1 indicates that the event is certain. A probability mass function maps every possible outcome of a discrete random variable to a probability.

A discrete random variable has a finite or countably infinite set of possible outcomes. For example, the possible outcomes of rolling a fair six-sided die are 1, 2, 3, 4, 5, and 6. The probability of getting any of these outcomes is 1/6, which is the probability mass function of the random variable.

The PMF must satisfy the following conditions:

- Probability mass function is always greater than or equal to 0.
- The sum of the probabilities of all possible outcomes must be equal to 1.

If the PMF is negative for any value of the random variable, it would imply a negative probability, which is not possible. Therefore, the PMF must always be greater than or equal to 0.

Conclusion:

Probability mass function is always greater than or equal to 0 because probabilities cannot be negative. It is used to describe the distribution of a discrete random variable. The sum of the probabilities of all possible outcomes must be equal to 1.
Explore Courses for CA Foundation exam
Probability mass function is alwaysa)0b)greater than 0c)greater than equal to 0d)less than 0Correct answer is option 'C'. Can you explain this answer?
Question Description
Probability mass function is alwaysa)0b)greater than 0c)greater than equal to 0d)less than 0Correct answer is option 'C'. Can you explain this answer? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about Probability mass function is alwaysa)0b)greater than 0c)greater than equal to 0d)less than 0Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Probability mass function is alwaysa)0b)greater than 0c)greater than equal to 0d)less than 0Correct answer is option 'C'. Can you explain this answer?.
Solutions for Probability mass function is alwaysa)0b)greater than 0c)greater than equal to 0d)less than 0Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for CA Foundation. Download more important topics, notes, lectures and mock test series for CA Foundation Exam by signing up for free.
Here you can find the meaning of Probability mass function is alwaysa)0b)greater than 0c)greater than equal to 0d)less than 0Correct answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Probability mass function is alwaysa)0b)greater than 0c)greater than equal to 0d)less than 0Correct answer is option 'C'. Can you explain this answer?, a detailed solution for Probability mass function is alwaysa)0b)greater than 0c)greater than equal to 0d)less than 0Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of Probability mass function is alwaysa)0b)greater than 0c)greater than equal to 0d)less than 0Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Probability mass function is alwaysa)0b)greater than 0c)greater than equal to 0d)less than 0Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice CA Foundation tests.
Explore Courses for CA Foundation exam

Top Courses for CA Foundation

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev