Question

A random variable X has its probability function given by x 0 1 2 3 4...

A random variable X has its probability function given by

x 0 1 2 3 4
f(x) 0.3c 0.1c c 0.2c 0.4c

a) Find c and F(x), the cumulative distribution function for X (for all real values of X).

b) Find the probabilities of the event X = 6 and the event X >= 4.

c) Find P(1 < X <= 4) and P(1 < X <= 4 | X <= 3).

Math   Statistics-And-Probability   
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Homework Answers

Answer #1

a)

  

Cumulative distribution for all real value of x is given in the table below

b) P(X=6)=0 [as mass function after 4 is zero ]


c)

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