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).
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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