A population of values has a normal distribution with \mu=120.6 and \sigma=48.5. You intend to draw a random sample of size n=105. Find the probabilit

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.
${\displaystyle p=\pm }$

2&ndash;6. Resolve F2 Into Components Along The U And V Axes, And Determine The Magnitudes Of These Components. F2 = 150 N V 30&deg; 30&deg; 45&deg; F1 = 200 N

A population of values has a normal distribution with ${\displaystyle \mu =116.5}$ and ${\displaystyle \sigma =63.7}$. You intend to draw a random sample of size ${\displaystyle n=244}$.
Find the probability that a sample of size ${\displaystyle n=244}$ is randomly selected with a mean between 104.7 and 112.8.
${\displaystyle P\left(104.7<M<112.8\right)=}$?
Write your answers as numbers accurate to 4 decimal places.