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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PLEASE HELP WITH i) and iv) thorough explanation and....correct answer would be appreaciated.....
Transcribed Image Text:Q3.
(а)
Table 3.1 shows the probability distribution for a discrete random variable X.
Table 3.1
1
4
P(X = x)
0.3- a
0.3 – 2a
За
0.4
(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 with
replacement from the distribution of X. Calculate P(x, +x, +x, = 6).
(iv)
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