a Which of the three functions below is a possible probabili

a. Which of the three functions below is a possible probability mass function of X?

x
0 1 2 3 4
p1(x) 0.1 0.1 0.2 0.2 0.2
p2(x) 0.3 0.3 0.3 0.2 0.2
p3(x) 0.1 0.2 0.4 0.2 0.1

Solution

For probability mass function the condition is total prob =1

For p1 column total is = 0.8

p2 total = 1.30

p3 total 1.0

Hence p3 is a possible probability mass funcitn for x.

a. Which of the three functions below is a possible probability mass function of X? x 0 1 2 3 4 p1(x) 0.1 0.1 0.2 0.2 0.2 p2(x) 0.3 0.3 0.3 0.2 0.2 p3(x) 0.1 0.

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