[4/10, 2:59 PM] Gehh: 1. Find the mean, variance, and standard deviation for the probability density function , f(x)=0.1,0?X?10.Graph the probability density function, then find and graph the cumulative distribution function on the same axes.

2. Find the mean, variance, and standard deviation for the probability density function f(x)=(1/2)e^(?x/2), 0?X Graph the probability density function, then find and graph the cumulative distribution function on the same axes.

3. Find the mean, variance, and standard deviation for the probability density function. ,f(x)=1.5x^2, ?1?X?1 Graph the probability density function, then find and graph the cumulative distribution function on the same axes.

[4/10, 3:00 PM] Gehh: 7) For continuous random variables X and Y with joint probability density function ??(??, ??) = { ???? ?(??+????) ?? > 0 ?????? ?? > 0 0 ????????????????? a. Find ??(?? > 2 ?????? ?? > 1). b. Find the marginal probability density functions ????(??) and ????(??). c. Are X and Y independent? Explain. 8) Refer to Question 7. a. Find the conditional probability density function ????|??(??|2.5). b. Find the conditional probability density function ????|??(??|0.5). c. Find the conditional expectation ??(??|?? = 0.5)

Identify the probability density function. 1 f( x ) = 9V 2n -e-(x - 20) /162, (-00, 00 ) O uniform probability density function O exponential probability density function O normal probability density function Find the mean, variance, and standard deviation without integrating. mean variance standard deviation Need Help? Read It