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8.02 Cumulative distribution functions

Interactive practice questions

For a random variable, consider the probability density function $f\left(x\right)=\frac{x^2}{9}$f(x)=x29 over $0\le x\le3$0x3 and $f\left(x\right)=0$f(x)=0 elsewhere.

State the cumulative distribution function $F\left(x\right)$F(x) over $0\le x\le3$0x3 where $F\left(x\right)=0$F(x)=0 for $x<0$x<0 and $F\left(x\right)=1$F(x)=1 for $x>3$x>3.

Use $C$C as the constant of integration.

Medium
3min

For a random variable, consider the probability density function $f\left(x\right)=\frac{e^x}{e^4-1}$f(x)=exe41 over $0\le x\le4$0x4 and $f\left(x\right)=0$f(x)=0 elsewhere.

Medium
3min

For a random variable, consider the probability density function $f\left(x\right)=\frac{3x\left(8-x\right)}{135}$f(x)=3x(8x)135 over $\left[2,5\right]$[2,5] and $f\left(x\right)=0$f(x)=0 elsewhere.

Medium
3min

For a random variable, consider the following probability density function.

Medium
5min
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Outcomes

MA12-8

solves problems using appropriate statistical processes

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