Let the p.m.f. of M be defined by f(x)=x/8,x=1,3,4.

  • Thread starter morr485
  • Start date
In summary, a p.m.f. is a probability mass function that assigns probabilities to discrete random variables. The p.m.f. of M is defined by the function f(x)=x/8, where x=1,3,4, with 1, 3, and 4 representing the possible outcomes. The range of the p.m.f. is 0 to 1, and it can be used in probability calculations to determine the likelihood of specific outcomes and to calculate expected values and variance.
  • #1
morr485
9
0
Let the p.m.f. of M be defined by f(x)=x/8,x=1,3,4. What is the mean of M?
Is this the same an E(M) of a binomial?
 
Physics news on Phys.org
  • #2


I guess we have P(M=1)=1/8, P(M=3)=3/8 and P(M=4) = 4/8. These add to 1.
So the mean is ... what? Do the computation from the definition.
Yes, this is another name for E(M), but it is not binomial.
 

1. What is a p.m.f.?

A p.m.f. stands for probability mass function. It is a function that assigns probabilities to discrete random variables, such as the outcomes of rolling a dice or flipping a coin.

2. How is the p.m.f. of M defined?

The p.m.f. of M is defined by the function f(x)=x/8, where x=1,3,4.

3. What do the numbers 1, 3, and 4 represent in the p.m.f. definition?

The numbers 1, 3, and 4 represent the possible outcomes of the discrete random variable M. In this case, they could represent the values of a dice roll, for example.

4. What is the range of the p.m.f.?

The range of the p.m.f. is the set of all possible values that the function can take. In this case, the range is 0 to 1, as the probabilities assigned by the function must be between 0 and 1.

5. How can the p.m.f. be used in probability calculations?

The p.m.f. can be used to calculate the probability of a specific outcome or set of outcomes occurring for a discrete random variable. It can also be used to calculate expected values and variance for the random variable.

Similar threads

  • Set Theory, Logic, Probability, Statistics
Replies
2
Views
1K
  • Set Theory, Logic, Probability, Statistics
Replies
0
Views
1K
  • Set Theory, Logic, Probability, Statistics
Replies
3
Views
1K
  • Set Theory, Logic, Probability, Statistics
Replies
9
Views
2K
  • Set Theory, Logic, Probability, Statistics
Replies
9
Views
1K
  • Set Theory, Logic, Probability, Statistics
Replies
27
Views
3K
  • Set Theory, Logic, Probability, Statistics
Replies
1
Views
919
  • Set Theory, Logic, Probability, Statistics
Replies
2
Views
1K
  • Set Theory, Logic, Probability, Statistics
Replies
9
Views
874
  • Calculus and Beyond Homework Help
Replies
22
Views
336
Back
Top