3 ### Probability Mass Function Determination**Question:**State whether the function is a probability mass function or not. If not, explain why not.Given function:\[ p = \{(9, 0.9), (10, -0.4), (11, 0.5)\} \]---**Options:**- [ ] **A.** \( p \) is a probability mass function.- [ ] **B.** \( p \) is not a probability mass function because it does not satisfy the third condition of probability mass functions.- [ ] **C.** \( p \) is not a probability mass function because it does not satisfy the second condition of probability mass functions.- [ ] **D.** \( p \) is not a probability mass function because it does not satisfy the first condition of probability mass functions.---### Explanation:A probability mass function (PMF) should satisfy the following conditions:1. **Non-negativity:** Each probability \( p(x) \) must be greater than or equal to zero.2. **Normalization:** The sum of all probabilities \( \sum p(x) \) must be equal to 1.3. **Discrete values:** The function is defined for discrete values of the random variable.For the given function \( p \):- The pair (9, 0.9) assigns a probability of 0.9 to value 9.- The pair (10, -0.4) assigns a probability of -0.4 to value 10.- The pair (11, 0.5) assigns a probability of 0.5 to value 11.To determine if \( p \) is a valid PMF, let's check these conditions:1. **Non-negativity:** The probability assigned to the value 10 is -0.4, which is negative. This violates the first condition.2. **Normalization:** The sum of probabilities is \( 0.9 + (-0.4) + 0.5 = 1.0 \). This satisfies the second condition.3. **Discrete values:** The function is defined for discrete values, satisfying the third condition.Since the first condition is not satisfied, \( p \) is not a probability mass function. Therefore, the correct answer is:- [ ] A. \( p \) is a probability mass function.- [ ] B. \( p \) is

Answer:- Given probability mass function P = { (9,0.9), (10,-0.4), (11,0.5) }

State whether the function is a probability mass function or not. If not, explain why not. p={(9,0.9).(10,-0.4).(11,0.5)) Select all that apply. A. p is a probability mass function. B. p is not a probability mass function because it does not satisfy the third condition of probability mass functions.

State whether the function is a probability mass function or not. If not, explain why not. p={(9,0.9).(10,-0.4).(11,0.5)) Select all that apply. A. p is a probability mass function. B. p is not a probability mass function because it does not satisfy the third condition of probability mass functions.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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