(c) P(X=2)
(d) P(X>3)
(e) P(1≤X≤3)
QUESTION 1:
Show that f(x)=x^2/55 for x=1,2,3,4,5 is a probability distribution function of a discrete random variable X. Hence, find
(a) P(X=3)
(b) P(X>2)
(c) P(X≤4)
(d) P(1<X≤5)
(e) P(1≤X≤3)
QUESTION 2:
Given the discrete random variable X has the following probability distribution function
g(x)={(2px ,x=0,1,2)/(px^2 ,x=3,4)}
Where p is a constant. Show that p=1/31. Hence, find
(a) P(X>4)
(b) P(X≤3)
(c) P(1≤X<4)
(d) P(|X-3|<2)
Discrete random variables- Cumulative Distribution Function
QUESTION 3:
The discrete random variable X has the following probability distribution function.
f(x)={■(1/6&x=0,2@1/3&x=1,3@0&otherwise)}
(a) Find the cumulative distribution function F(x)
(b) P(X≤2)
(c) P(X<1)
(d) P(0<X≤3)
(e) P(X>2)
(f) P(X<-1)
QUESTION 4:
The discrete random variable X has the following probability distribution function.
f(x)={■(1/8&x=0,3@3/8&x=1,2@0&otherwise)}
(a) Find the cumulative distribution function F(x)
(b) P(X≤-0.5)
(c) P(X≤2.5)
(d) P(X≤4)
QUESTION 5:
The cumulative distribution function F(x) of a discrete random variable X is given by:
F(x)=kx,x=1.2,3,4
Find
(a) the value of the constant k
(b) the probability distribution of X
1 answer