Please help me with this questionwith explanation cause i need to know how itbwas answered

MOST ESSENTIAL LEARNING COMPETENCIES OBJECTIVE Illustrates a probability distribution for a discrete random variable and its propertiess Determine If a given distribution represents a probability distribution. A discrete probability distribution has the following properties: 1. The probability of each value of the random variable must be between or equal to 0 and 1. Example: 2. The sum of the probabilities of all values of the random variable must be equal to 1. Getting an even number in a single roll of a die There are three possible ways that an even number will occur in a single roll of a die. If we let y as the even number that occur once and the probability of getting an even number will be Ply), the result of the distribution is as follows: y P(yl 0 3/6 or 1/2 3/6 or 1/2 (1/2+1/2= 1) In this example, each P(y) has value which is between or equal to 0 and 1, and the sum of all P(y) is equal to 1 Determine whether or not the table is a valid probability distribution of a discrete random variable. P(x) -2 0 0.3 0.2 4 0.5 0.1 X 0.5 P(x) 0.25 0.25 -0.4 0.6 0.8 X 1.1 2.5 P(x) 4.1 4.6 0.16 5.3 0.14 0.11 0.27 0.22 X 0 2 P(x) 3 4 -0.25 0.50 D.35 0,10 0.30 X 2 0.325 3 P(X) 0.406 0.164 WHAT I CAN DO Using the given above, answer each of the following. Find the following probabilities. 1. a. P(2) b. P(x>2) 2. P(0.25) 3. P()4) 4. P(X>1) 5. P(3) Determine if each probability distribution is a Discrete Probability Distribution or NOT. X 0 1 2 3 P(X) 1/5 2/5 1/5 1/5 Z 1 2 3 4 5 P(z) 0.2 0.1 0.6 0.05 0.05 a 1 3 5 P(a) 2/7 7 1/7 5/7 1/7 b 4 8 8 10 P(b 0.42 0.11 -0.28 0.19 C 0 2 3 P(C) 0.512 0.301 0.132 0.055