Question: NT #1 Let X be a discrete random variable with pmf ax2 + c x = 0, 1,2, 3, 4 p(a) = 0 otherwise a)

NT #1 Let X be a discrete random variable with pmf ax2 + c x = 0, 1,2, 3, 4 p(a) = 0 otherwise a) If p(0) = .14, then what must the values of a and c be for p(x) to be a legitimate pmf? b) Find E(X2 ). c) Write out the cdf (cumulative distribution function) of X in table form. Express the values of x as ranges and be sure that all real values of x are represented

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

(a) (5 points) Mutually exclusive events are always independent. (True or False ?) (b) (10 points) Six cards are drawn at random (with replacement ) from a deck of 52 cards What is the probability...

1. Let X be a discrete random variable whose PMF is 20 2(1 -0) 1 - 6 P(O) = P(1) = 2 P(2) = P(3) = 3 3 Suppose that X1, ..., Xn are iid samples of X (n > 0). (a) Find the MME for 0. [10 marks] (b) Is...

1. Let X be a discrete random variable that may assume values x = 0; 1; 2 respectively with probabilities p1; 0:5; p2. Which values of p1 and p2 define a probability distribution? A p1 = 0.5 and p2 =...

Hi! I need help with Q1 and Q2. (1) Let X be a discrete random variable with the following PMF 0.3 for r = 3 0.2 for = = 5 Px(x) = 0.3 for 1 = 8 0.2 for r = 10 0 otherwise Find and plot the CDF of X....

Problem 1 Let X be a discrete random variable with the following PMF: 1 1-2 for x = 0 1-3 for x = 1 Px(x) = 1-6 for x = 2 0 otherwise a. Find R X' the range of the random variable X. b. Find P(X >=...

Page 1 of 9 SIT787 -Mathematics for Al Assignment 3 Related to the content of Weeks 6-10 Trimester 2, 2024 Important notes: e Submission deadline can be found on the unit website. Your submission can...

Let X be a discrete random variable with PMF p(x), and Y be a continuous random variable with PDF f(y). (1) Suppose that the values of p(x) are given by the following table: I 0 2 8 p(x) 1/8 2/8 5/8...

Subject :- Probability and Stochastic Processes Question No. 1 (10+10+5 = 25 marks) Let X be a discrete random variable with values as given in the following table. X -3 -2 -1 0 2 3 4 5 6 7 Pr(X)...

(1) Let X be a discrete random variable with a probability function given by p (x) = c 7 x, for x = 1,. . . , 6, where is a positive real constant. Determine: (a) the value of the constant c. (b) the...

The demand function for good X is In Qx = a + b In Px+ c In M + e, where Px is the price of good X and M is income. Least squares regression reveals that: = 7.42 6 = -2.18 = 0.34 %3D a. If M =...

A maintenance department will likely not have any direct materials or direct labor. The entire department will likely be considered factory overhead if the maintenance department is supporting a...

To see if a company is in an impoirment scenario, the company will compare the book value of their assets conpured to the ) Undiscounted future cash flows Rink adiuntied reserves fuctrer Long - lived...

Carter Incorporated produces two products, A and B. Pertinent per-unit data follow: There is insufficient labor capacity in the plant to meet the combined demand for both products. Both products are...