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ID: 3349876 • Letter: P
Question
Please help with problem 1 ASAP a-b dernion otone https%3A%2rsamad yal ooaemei primary lyd- , account? lang en USantus&sre; ym authMechanism manage | | Search id:68 X Curnulative Chapter Four E- QSite Search Your Account Log Out MathLynx STUDENTS ABOUT USs CONTACT LERAR's ome Collaborative Staltistics Discrete Random Variables Evaluation Tools Cumulative Chapter Four Evaluation roblem 1 A discrete random variable X takes on values 0.1.2. and 3 according to the PDF table below. Your entries are all to be decimal values accurate to the nearest 0.01 2 03 3 05 a. 150%) Complete the table above b. (50%) What is the expected value of X? Problem 2Explanation / Answer
The sum of all probabilities should be equal to 1. Therefore, we get here:
P( X = 1) = 1 - P(X = 0) - P(X = 2) - P(X = 3) = 1 - 0.1 - 0.3 - 0.5 = 0.1
Therefore now the table could be completed as:
b) Now the expected value of X is computed by summing up the last column as:
E(X) = 0 + 0.1 + 0.6 + 1.5 = 2.2
Therefore the expected value of X here is 2.2
x P(X = x) x.P(X = x) 0 0.1 0 1 0.1 0.1 2 0.3 0.6 3 0.5 1.5