The probability density function of a random variable X is fX(x) { b(1 −x)4 0 ≤x ≤1 , 0 elsewhere (a) Find b such that fX(x) is a valid density function. (b) Find the probability that X is less than 1/2. (c) Find the probability that X is less than 1/4 given that X < 1/2
The probability density function of a random variable X is fX(x) { b(1 −x)4 0 ≤x ≤1 , 0 elsewhere (a) Find b such that fX(x) is a valid density function. (b) Find the probability that X is less than 1/2. (c) Find the probability that X is less than 1/4 given that X < 1/2
The probability density function of a random variable X is fX(x) { b(1 −x)4 0 ≤x ≤1 , 0 elsewhere (a) Find b such that fX(x) is a valid density function. (b) Find the probability that X is less than 1/2. (c) Find the probability that X is less than 1/4 given that X < 1/2
The probability density function of a random variable X is fX(x) { b(1 −x)4 0 ≤x ≤1 , 0 elsewhere
(a) Find b such that fX(x) is a valid density function.
(b) Find the probability that X is less than 1/2.
(c) Find the probability that X is less than 1/4 given that X < 1/2
Expression, rule, or law that gives the relationship between an independent variable and dependent variable. Some important types of functions are injective function, surjective function, polynomial function, and inverse function.
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