$$f\left(x\right)=\lambda\ e^{-\lambda\ x},\ x>0$$

$$f\left(x\right)=\frac{1}{k},\ x=x_1,x_2,....,x_k$$

$$f\left(x\right)=b-a,\ \ a<x<b$$

$$f\left(x\right)=\frac{1}{b-a},\ \ a<x<b$$

$$X\sim Uniform\left(0,1\right)$$

$$X\sim Uniform\left(0,4\right)$$

$$X\sim Uniform\left(1,2\right)$$

$$X\sim Uniform\left(2,4\right)$$

$$f\left(x\right)=\frac{1}{5},\ 3<x<7$$

$$f\left(x\right)=\frac{1}{4},\ 3<x<7$$

$$f\left(x\right)=\frac{1}{3},\ 3<x<7$$

$$f\left(x\right)=\frac{1}{7},\ 3<x<7$$

$$\mu\ =5$$

$$\mu\ =4$$

$$\mu\ =3$$

$$\mu\ =2$$

$$P\left(1<X<3\right)$$

$$P\left(1<X<5\right)$$

$$P\left(3<X<5\right)$$

$$P\left(3<X<7\right)$$

$$\int_3^5\ \frac{1}{4}dx$$

$$\int_3^7\ \frac{1}{5}dx$$

$$\int_3^7\ \frac{1}{4}dx$$

$$\int_3^5\ \frac{1}{5}dx$$

$$\int_3^7\ \frac{1}{4}dx$$

$$\int_5^{\infty\ }\ \frac{1}{4}dx$$

$$\int_5^7\ \frac{1}{4}dx$$

$$\int_3^5\ \frac{1}{4}dx$$

$$\int_0^{50}\ \frac{1}{100}dx$$

$$\int_0^{100}\ \frac{1}{100}dx$$

$$\int_{50}^{100}\ \frac{1}{100}dx$$

$$\int_{50}^0\ \frac{1}{100}dx$$

0

50

100

1000

$$\int_0^{10}\ \frac{1}{10}dx$$

$$\int_6^{10}\ \frac{1}{10}dx$$

$$\int_0^6\ \frac{1}{10}dx$$

$$\int_{-\infty\ }^6\ \frac{1}{10}dx$$