X is a discrete random variable with probability mass function p ( x ) = c x 2 for x = 1 2 , 1 , 3 2 , 2 . Find the value of c. Find the expected value of X

fro x = 12, 1, 32, 2 if the set of x is different just follow the same procedure for your particular set.

c = 1/1173

E[x] = 29.416

Step-by-step explanation:

The probability mass function is the probability that a discrete random variable X  takes a particular value of x for the probability mass function the sum of all the items in the mass function should be equal one, therefore, 1 = c(12^2 + 1^2 + 32^2 + 2^2) = 1, solving for c we get c = 1/1173, our probability mass function is p(x) = 1/1172*x^2 for x = 12, 1, 32, 2

The expected value is the probability-weighted average of all possible values, to calculate it we need to sum each item x by its respective probability:

E[X] = 12*(1/1173*12^2)+1*(1/1173*1^2)+32(1/1173*32^2)+2(1/1173*2^2) = 29.416

Please note that to calculate E[X] we need to calculate c first to have the probabilities of each x

i dont know men

step-by-step explanation:

proofs involving isosceles triangles often require special consideration because an isosceles triangle has several distinct properties that do not apply to normal triangles.(more about triangle types) therefore, when you are trying to prove that two triangles are congruent, and one or both triangles, are isosceles you have a few theorems that you can use to make your life easier.

step-by-step explanation:

an isosceles triangle has two congruent sides and two congruent angles. the congruent angles are called the base angles and the other angle is known as the vertex angle. ∠bac and ∠bca are the base angles of the triangle picture on the left. the vertex angle is ∠abc