What are the mean and standard deviation of a binomial

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.

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.
${\displaystyle p=\pm }$

The joint density of the random variables X and Y is given by
$f(x,y)=\{\begin{array}{ll}8xy& 0\le x\le 1,0\le y\le x\\ 0& otherwise\end{array}$
Find the marginal density of X

If the joint probability density function of two continuous random variables X and Y isgiven by f(x; y) = 2, 0 < y < 3x, 0 < x < 1;find,(a) f(y/x),(b) E(Y/x), (c) Var(Y/x).

Miranda earned scores of 84, 91, 95, 78, and 92 on her math tests. How do you find her average (mean) score?

What are the mean and standard deviation of a binomial probability distribution with n=12 and ${\displaystyle p=\frac{15}{23}}$?

A population of values has a normal distribution with ${\displaystyle \mu =129.7}$ and ${\displaystyle \sigma =7.7}$. You intend to draw a random sample of size ${\displaystyle n=10}$.
Find the probability that a single randomly selected value is less than 130.9.
${\displaystyle P\left(X<130.9\right)=}$?
Write your answers as numbers accurate to 4 decimal places.