A population of values has a normal distribution with \mu=192.6 and \sigma=34.4. You intend to draw a random sample of size n=173.Find the probability that a single randomly selected value is less than 186.1.P(X < 186.1) =? Write your answers as numbers accurate to 4 decimal places.

We wish to estimate what percent of adult residents in a certain county are parents. Out of 600 adult residents sampled, 192 had kids. Based on this, plot a $99\mathrm{\%}$ confidence interval for the proportion of adult residents who are parents in a given county.
Express your answer in the form of three inequalities. Give your answers in decimal fractions up to three places ${\displaystyle <p<}$ Express the same answer using a point estimate and a margin of error. Give your answers as decimals, to three places.
${\displaystyle p=\pm }$

A population of values has a normal distribution with ${\displaystyle \mu =133.5}$ and ${\displaystyle \sigma =5.2}$. You intend to draw a random sample of size ${\displaystyle n=230}$.
Find the probability that a single randomly selected value is between 133.6 and 134.1.
${\displaystyle P\left(133.6<X<134.1\right)=}$?
Write your answers as numbers accurate to 4 decimal places.

Random variables X and Y are uniformly distributed on the region bounded by the x and y axes, and the curve $y=1-x^2$.
Calculate E(XY)

What are the mean and standard deviation of a binomial probability distribution with n=12 and ${\displaystyle p=\frac{5}{37}}$?

Consider two continuous random variables X and Y with joint density function
$f(x,y)=\{\begin{array}{l}x+yo\le x\le 1,0\le y\le 1\\ 0otherwise\end{array}$
$P(X>0.8,Y>0.8)$ is?

What are the mean and standard deviation of a binomial probability distribution with n=18 and ${\displaystyle p=\frac{2}{32}}$?

Five people have a genetic disease and one child each. The random variable x is the number of children among the five who inherit the​ disease.
a)Find the mean.
b)Find the standard deviation.
$\begin{array}{|ccccccc|}\hline x& 0& 1& 2& 3& 4& 5\\ P(x)& 0.027& 0.162& 0.311& 0.311& 0.162& 0.027\\ \hline\end{array}$