# Dominic Amato

Statistics teacher | Verified Expert

I earned my Statistics degree from the University of Mary Washington, where I developed a passion for deciphering data and uncovering meaningful insights. Equipped with analytical prowess and a dedication to precision, I guide students through the intricate world of statistical analysis with clarity and enthusiasm. My goal is to demystify complex concepts, empowering learners to confidently navigate statistical methodologies and draw informed conclusions. Whether it's probability theory or hypothesis testing, I am committed to fostering a supportive learning environment where students flourish and embrace the power of data-driven decision-making. Let's embark on a journey of statistical discovery together.

## Questions

What is the value of a? P(X≥a)=0.5

How high can a p value be?

What is a pooled variance?

The probability that a new spark plug is defective is 0.06. You need two new spark plugs. What is the probability that both spark plugs are defective?

Wha are the four properties of a binomial probability distribution?

Let z be a random variable with a standard normal distribution. Find the indicated probability. What is the probability that P(z ≤ 1.18)?

Does the number of degrees of freedom of a regression refer to the number of variables?

A box contains 5 red, 2 white, & 3 blue marbles. If a marble is selected at random, what is the probability that it is not red?

How do you find the range and interquartile range for 37, 19, 13, 11, 10?

What is a 90% confidence interval for the population mean birth weight based on the data?

- What is the average of the 3 temperatures -10°C, -30°C, and -55°C?
- What is the mean, median, mode, and range for the following numbers?: {4, 5, 1, 7, 6, 5, 3, 5, 4, 5, 3}
- Why does the generalized least squares require a known set of variances for the error terms?
- How many five-digit numbers can be formed by rearranging the digits in the number 93,218?
- What are the mean and standard deviation of a binomial probability distribution with #n=12 # and #p=5/21 #?
- You reach into a bag of coins and withdrew two coins. What is the probability you withdrew a nickel and then a dime if the bag held ten pennies, six nickels, and five dimes?
- If #X# is normally distributed, how do I find #"P"(X<5.83)#?
- 6 keys are to be placed on a keyring. What is the number of ways of arranging the keys if there are 3 identical locker keys and 2 identical car keys?
- Let x be a binomial random variable with n=10 and p=0.2 In how many possible outcomes are there exactly 8 successes?
- 8 rooms are to be painted with 3 blue, 3 red, and 2 yellow paint tins.(each tin of paint can paint exactly one room and all rooms are identical in shape and size). In how many ways it can be done?