A population of values has a normal distribution with \mu=182.5 and \sigma=49.4. You intend to draw a random sample of size n=15. Find the probability that a single randomly selected value is greater than 169.7. P(X > 169.7) =? Write your answers as numbers accurate to 4 decimal places.

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.
${\displaystyle p=\pm }$

If IQ scores are normally distributed with a mean of 100 and a standard deviation of 15, what is the probability of a random person scoring over 110?

What does the variance of a random variable measure?
What is the standard deviation of a continuous random variable X?

Discrete or Continuous? II Identify the following as discrete or continuous random variables:
a. Increase in length of life attained by a cancer patient as a result of surgery
b. Tensile breaking strength (in pounds per square inch) of 1-inch-diameter steel cable
c. Number of deer killed per year in a state wildlife preserve

What are the mean and standard deviation of a binomial probability distribution with n=12 and ${\displaystyle p=\frac{7}{60}}$?

How do you find the mean of the following set of numbers: 12, 14, 16, 12, 13?