# Audrey Allen

University of Massachusetts Global

Statistics

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

What is the value of a? P(X≥a)=0.5

How high can a p value be?

- Find the number of possible arrangements of the letters in the word PENCILS if 'E' comes before 'I' ?
- Records show that the probability is 0.00006 that a car will have a flat tire while driving through a certain tunnel.Find the probability that at least 2 of 10,000 cars passing through this channel will have flat tires?
- If 8% of all people in an area are unemployed, what is the probability that in a sample of 200 persons, there are fewer than 10 people who are unemployed?
- What are the mean and standard deviation of a probability density function given by #Pr(X=k) = (3^ke^-3)/(k!) # for #k in {0,1,2... oo}#?
- What are the mean and standard deviation of a probability density function given by #Pr(X=k) = (12^ke^-12)/(k!) # for #k in {0,1,2... oo}#?
- In how many ways can a committee of 4 be selected from 6 men and 8 women if the committee must contain at most 2 women?
- What are the mean and standard deviation of the probability density function given by #p(x)=x^4-x^3+1# for # x in [0,1]#, in terms of k, with k being a constant such that the cumulative density across the range of x is equal to 1?
- In a biology lab, a student has measured the lengths of 30 palmetto bugs in inches. He computes the mean and standard deviation as 4.1 inches and 1.2 inches, respectively. He later finds out that he was supposed to calculate the mean and standard deviation in centimeters instead of in inches. What are the new mean and standard deviation of his sample, in centimeters? (Note: 1 in = 2.54 cm)
- Using the digits #1,2,3,4,5,6# as many times as you wish, how many #3# digits numbers can you make that are divisible by #5# ?
- A cooler at a soccer game holds 10 apple juices and 10 orange juices. If the first player chooses a juice and drinks it, then the second player chooses a juice, what is the probability that both players would choose orange juice?
- What are the mean and standard deviation of a binomial probability distribution with #n=21 # and #p=4/17 #?
- How do you find the odds of an event occurring given its probability 2.1/10?
- What is the geometric mean of #2/3# and #216#?
- Can you calculate the probability that a randomly chosen freshman studies more than 9 hours? If not, explain why not. (Use information given below)
- Two cards are drawn from a well-shuffled ordinary deck of 52 cards. What is the probability that they are both aces if the first card is not replaced?
- What are the mean and standard deviation of a binomial probability distribution with #n=100 # and #p=8/10 #?
- How can you recognize a poisson distribution?
- A poker hand consisting of 5 cards, is dealt from pack of 52 cards. Find the probability of obtaining: a) 1 pair b) 2 pairs c) 3 of a kind d) 4 of a kind e) a flush f) a royal flush?