4 Find the cumulative distribution function for the continuous probability distribution f(x)=frac{3 xleft(x^{2}+1right)^{2}}{62000} defined on the domain [3,7].

Question

Accepted Answer

Step:1 ：Find the cumulative distribution function (CDF) by integrating the given probability density function (PDF) f(x) over the domain [3, x] where 3 leq x leq 7: F(x) = int_{3}^{x} f(t) dtStep:2 ：The cumulative distribution function for the given continuous probability distribution is F(x) = boxed{frac{x^6}{124000} + frac{3x^4}{124000} + frac{3x^2}{124000} - frac{999}{124000}}, defined on the domain [3, 7].

Answer

Step: 1 ：Find the cumulative distribution function (CDF) by integrating the given probability density function (PDF) f(x) over the domain [3, x] where 3 leq x leq 7: F(x) = int_{3}^{x} f(t) dtStep: 2 ：The cumulative distribution function for the given continuous probability distribution is F(x) = boxed{frac{x^6}{124000} + frac{3x^4}{124000} + frac{3x^2}{124000} - frac{999}{124000}}, defined on the domain [3, 7].

4 Find the cumulative distribution function for the continuous probability distribution $f (x) = \frac{3 x {(x^{2} + 1)}^{2}}{62000}$ defined on the domain $[3, 7]$ .

Answer

Popular Problems

4 Find the cumulative distribution function for the continuous probability distribution f(x)=3x(x2+1)262000 defined on the domain [3,7].

Answer

Popular Problems

4 Find the cumulative distribution function for the continuous probability distribution $f (x) = \frac{3 x {(x^{2} + 1)}^{2}}{62000}$ defined on the domain $[3, 7]$ .