What operation do you use to find the power of bases<br><br><br><br> please answer quick

What will be the explanatory and response variable for this article?

vekshin1

Step-by-step explanation:

The explanatory is the independent variable, or the variable that goes on the x-axis of a graph. Here, that could be time or political affiliation.

The response variable is the dependent variable, or the variable that goes on the y-axis of a graph. Here, that would be percent that have a positive view of capitalism/socialism.

7 0

4 years ago

Claim amounts for wind damage to insured homes are independent random variables with common density f(x) = ( 3 x4 , x > 1 0 ,

Irina-Kira [14]

$f_X(x)=\begin{cases}\dfrac3{x^4}&\text{for }x>1\\\\0&\text{otherwise}\end{cases}$

This distribution has expectation

$E[X]=\displaystyle\int_{-\infty}^\infty xf_X(x)\,\mathrm dx=\int_1^\infty\frac3{x^3}\,\mathrm dx=\frac32$

a. The probability that $X$ falls below the average/expectation is

$P\left(X$

b. Denote by $X_{(3)}$ the largest of the three claims $X_1,X_2,X_3$ . Then the density of this maximum order statistic is

$f_{X_{(3)}}(x)=3f_X(x)F_X(x)^2$

where $F_X(x)=P(X\le x)$ is the distribution function for $X$ . This is given by

$F_X(x)=\displaystyle\int_{-\infty}^xf_X(t)\,\mathrm dt=\begin{cases}0&\text{for }x$

So we have

$f_{X_{(3)}}(x)=\begin{cases}0&\text{for }x1\end{cases}$

and the expectation is

$E[X_{(3)}]=\displaystyle\int_{-\infty}^\infty xf_{X_{(3)}}(x)\,\mathrm dx=\int_1^\infty\frac9{x^3}\left(1-\frac1{x^3}\right)^2\,\mathrm dx=\frac{81}{40}=\boxed{2.025}$