# Audrey Allen

Statistics teacher | Tutor for 6 years

I hold a degree in Statistics from the University of Massachusetts Global. With a passion for numbers and data analysis, I specialize in simplifying complex statistical concepts for students. My goal is to empower learners with the skills and confidence needed to excel in mathematics and beyond. Through personalized instruction and real-world examples, I foster a supportive learning environment where students can thrive. Let's embark on a journey of discovery together, where every question is an opportunity to learn and grow.

## Questions

If the standard deviation of a distribution is s = 7, what is its variance?

Let #X# be a binomial random variable with #p=0.4# and #n=10#. What is # P(X = 5) #?

Five numbers have an average of 90. Four of the numbers are 87, 93, 89, and 85. What is the remaining number?

Where do you put the mean and median on a box and whisker plot?

In a symmetric distribution, are the mean, median, and mode necessarily equal?

What is the variance of the data set 49, 2, 52, 15, 25, 9, 3, 5 to the nearest hundredth?

Two cards are randomly drawn from a standard of 52-playing cards without replacement. What is the probability of drawing a 2 followed by a 5?

How many heads are expected in 28 tosses of a fair coin?

What's the difference between a binomial, hypergeometric, and Poisson probability distribution?

Can t-test statistics be a negative number?

How are continuous and discrete treated differently?

A 12 member jury for a criminal case will be selected from a pool of 15 men and 15 women. What is the probability that the jury will have 6 men and 6 women?

The commuting time for all employees of a company has a normal distribution with a mean of 44.6 minutes and a standard deviation of 11.2 minutes. What is the probability that the mean computing time by a sample of 12 employees is between 43.26 and 49.35?

To win a particular lottery game a player chooses 5 numbers from 0 to 63. If all five numbers that the player selected match the winning numbers in any order, then the player wins. What is the probability that the winning numbers are 7, 0, 29, 45, and 60?

If I have 5 crayons (red, orange, yellow, green, blue) and I randomly choose 4, what are the chances that I do NOT choose green?

There were five people in group A, with a mean lQ of 100, and five in group B, with a mean IQ of 74. When Jack left group A for group B, both means increased, and the total of the two new means was 180. What Is Jack's IQ?

What are the mean, median, and mode? What do they measure?

How do you know when a linear regression model is appropriate?

A credit card company randomly 9 generates temporary four digit passcodes for cardholders. Serena is expecting her credit card to arrive in the mail. What is the probability that her pass code will consist of four different odd digits?

How many different permutations can you get from the letters in the word INVISIBILITY?