prob and stat

1. Continuous
Random Variable
0 1

4. Continuous Random Variable:
A random variable X is said to be continuous if it takes on infinite number of
values.
The probability function associated with it is said to be PDF = Probability density
function
The function f(x) is a probability density function (pdf) for the continuous random
variable X, defined over the set of real numbers, if

6. Compute the value of P (1 < X < 2).
Such that
𝑓(𝑥) = ቊ
𝑘𝑥3
, 0 ≤ 𝑥 ≤ 3
0, 𝑜𝑡ℎ𝑒𝑟𝑤𝑖𝑠𝑒
Where, f(x) is a density function

7. Compute the value of P (2 < X < 5).
Such that
𝑓(𝑥) = ቊ
𝑘𝑥3
, 0 ≤ 𝑥 ≤ 3
0, 𝑜𝑡ℎ𝑒𝑟𝑤𝑖𝑠𝑒
Where, f(x) is a density function

18. Thank you