PLEASE HELP WITH i) and iv) thorough explanation and....correct answer would be appreaciated..... Q3.(а)Table 3.1 shows the probability distribution for a discrete random variable X.Table 3.114P(X = x)0.3- a0.3 – 2aЗа0.4(i)State the range of possible values of a.Given E(X)=2.9, find the value of a.(111)Based on the value of a obtained in Q3. (a) (ii), calculate Var (X).Three independent observations x,, x,, and x, are taken randomly withreplacement from the distribution of X. Calculate P(x, +x, +x, = 6).(iv)

Given: The probability distribution table is given as follows: x P(X=x) 1 0.3-α 2 0.3-2α 3…

а) Table 3.1 shows the probability distribution for a discrete random variable X. Table 3.1 1 2 4 P(X =x) 0.3- a 0.3– 2a За 0.4 (i) State the range of possible values of a. (11) Given E(X)=2.9, find the value of a. %3D Based on the value of a obtained in Q3. (a) (ii), calculate Var (X). ... (111)

а) Table 3.1 shows the probability distribution for a discrete random variable X. Table 3.1 1 2 4 P(X =x) 0.3- a 0.3– 2a За 0.4 (i) State the range of possible values of a. (11) Given E(X)=2.9, find the value of a. %3D Based on the value of a obtained in Q3. (a) (ii), calculate Var (X). ... (111)

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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