Probability density function (pdf).

1.	Probability density function (pdf).
Answer» Probability density function (pdf): Let ‘ X ’ be a continuous random variable taking values in the interval [a, b], then, A function f(x) is said to be the probability density function of the continuous random variable ‘ X ’, if it satisfies the following conditions : f(x) ≥ 0 for all ‘ X’ in the interval [a, b] . For two distinct numbers c & d in the interval [a, b]: P(c ≤ X ≤ d) = (Area under the probability curve between ordinates at X =c and X=d). Total area under the curve is 1. i.e. , P(- ∞ < x < ∞) = 1 .

Answer»

Probability density function (pdf): Let ‘ X ’ be a continuous random variable taking values in the interval [a, b], then, A function f(x) is said to be the probability density function of the continuous random variable ‘ X ’, if it satisfies the following conditions :

f(x) ≥ 0 for all ‘ X’ in the interval [a, b] .
For two distinct numbers c & d in the interval [a, b]:

P(c ≤ X ≤ d) = (Area under the probability curve between ordinates at X =c and X=d).

Total area under the curve is 1. i.e. , P(- ∞ < x < ∞) = 1 .

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Probability density function (pdf).

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