# Liam Burke

Statistics teacher | Verified Expert

I hold a degree in Statistics from Lock Haven University. My passion lies in unraveling the complexities of data and making sense of statistical trends. With a solid academic foundation, I strive to demystify statistical concepts for my students, fostering a deeper understanding of the subject. I believe in creating a supportive learning environment where students feel empowered to ask questions and explore statistical principles with confidence. Let's embark on this statistical journey together, turning numbers into insights.

## Questions

How many different ways can the letters “different” be arranged?

What is the variance of {-7, 12, 14, 8, -10, 0, 14}?

How are continuous and discrete treated differently?

What is the difference between a discrete random variable and a continuous random variable?

A student must answer 3 out of 5 essay questions on a test. In how many different ways can the student select the question?

De Guzman Co. Claims that the average life of their battery product last of 26 hours with a standard deviation of 5 hours. What is the probability that 35 random pieces of their batteries have an average life span of less than 24.3 hours?

A dice has 6 faces. 2 faces are colored in blue, 3 faces are colored in red and 1 is green. The dice is rolled 4 times. What is the probability of the dice to show: a) blue, red, red, green (in this order); b) The same colors but in any order?

What a weighted least squares regression and when is it used?

The data set 5, 6, 7, 8, 9, 9, 9, 10, 12, 14, 17, 17, 18, 19, 19 represents the number of hours spent on the internet in a week by students in a mathematics class. How do you construct a box and whisker plot that represents the data?

What is a partition of sums of squares?

What is the general formate for the equation of a least-squares regression line?

15 students in a school are distributed evenly among 3 classes. Given there are 3 students with red hair in the 15 and distribution is random, how many number of ways that all the students with red hair end up in the same class?

What is the mode of 1, 4, 7, 2, 7, 3, 8, 4, 2, 4, 9, 5, 2, 1?

The average weight of 6 students is 62 kg. If a 7th student weighs 52 kg, what is the new average weight of all 7 students?

Assume that z-scores are normally distributed with a mean of 0 and a standard deviation of 1. If #P(z > c)=0.0606#, how do you find #c#?

What is the variance of a geometric distribution for a given pobability?

Could we use the special addition rule for determining the probability that for one draw from a deck of cards, that the card is either a Queen or a Heart? Why or why not?

What is another name for mutually exclusive events?

A class contains 5 boys and 6 girls. The teacher is told that 3 of the students can go on a school trip, and selects them at random. What is the probability that 3 members of the same gender are selected?

A medical researcher says that less than #25%# of US. adults are smokers. In a random sample of #200# US. adults, #18.5%# say that they are smokers. At #alpha = 0.05#, is there enough evidence to reject the researchers claim?