For a population with a mean of \mu= 100 and a standard deviation of \sigma=20, Find the X values. z = +1.80.

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.

How can the sample covariance be used to estimate the covariance of random variables?

Chances: Risk and Odds in Everyday Life, by James Burke, reports that only 2% of all local franchises are business failures. A Colorado Springs shopping complex has 137 franchises (restaurants, print shops, convenience stores, hair salons, etc.). Let r be the number of these franchises that are business failures. Explain why a Poisson approximation to the binomial would be appropriate for the random variable r. What is n? What is p? What is λλ (rounded to the nearest tenth)?

A population of values has a normal distribution with ${\displaystyle \mu =216.9}$ and ${\displaystyle \sigma =87.1}$. You intend to draw a random sample of size ${\displaystyle n=97}$.
Find the probability that a single randomly selected value is between 193 and 244.3.
${\displaystyle P\left(193<X<244.3\right)=}$?
Write your answers as numbers accurate to 4 decimal places.

How is the law of large numbers related to probability?

What is a discrete probability distribution? What two conditions determine a probability distribution?