# Emery Adams

Union University

Statistics

Statistics teacher | Tutor for 7 years

With a Statistics major from Union University, my passion lies in deciphering data puzzles. Equipped with advanced analytical tools, I guide students through the complexities of mathematics, probability, and beyond. My teaching style fosters a deep understanding, empowering learners to tackle challenges with confidence. Whether unraveling statistical theories or demystifying mathematical concepts, I'm dedicated to illuminating the path to academic success. Join me in exploring the fascinating world of numbers, where every equation tells a story waiting to be understood.

## Questions

- What are the mean and standard deviation of the probability density function given by #p(x)=k(1-xe^(x) )# for # x in [0,3]#, in terms of k, with k being a constant such that the cumulative density across the range of x is equal to 1?
- If a spinner is divided into 8 equal sections and you spin it twice, what is the probability of spinning a sum of 7?
- How do you pick out the numbers to use with a box and whisker plot when you have all the quartiles, and smallest and largest numbers?
- A small pond contains five catfish and four bluegill. If five fish are caught at random, what is the probability that all of them are catfish?
- Five cards are dealt from a standard deck of 52 cards. How many different 5-card hands will contain all hearts?
- How do I show that the probability of it being blue is 5/28 ?
- What is the probability of rolling a number 5 on a fair number cube ?
- What is #P(x)# for #n=4, x=1, p= .6#?
- What is #P(x)# for #n=3. x = 0, p = 0.8 #?
- For random variables #X# and #Y#. What is #"Var"(X+Y)# in terms of #"Var"(X)# and Var(Y)?
- A bin contains 71 light bulbs, of which 9 are defective. If 6 light bulbs are randomly selected from the bin without replacement of the selected bulbs, what is the probability that all of the selected bulbs are good?
- What are the mean, median, and mode salaries of a baseball team where the 24 players earn the following annual salaries: 2 players at $14.6 million; 4 at $7.45 million; 4 at 3.93 million; 5 at $450,000; 2 at $390,000 and 7 at $200,000?
- Suppose that you toss a coin three times and roll three dice. What is the probability of obtaining two tails, one five, and at least one dice roll of less than three?
- If two fair coins are tossed, what is the probability of getting two heads?
- A coin is tossed 4 times, what is the probability of NOT getting 2 heads?
- You roll two balanced dice one time. What is the probability that you obtain either a sum of 8 or the same number on each of the two dice?
- What are the mean and standard deviation of a binomial probability distribution with #n=114 # and #p=3/49 #?
- How is Bayes' Theorem used to solve complex probability questions?
- Using the letters of the word YOUNG, tell how many different 5-letter combinations are possible if the first letter must be Y?
- In a survey of 1118 people, 732 people said they voted in a recent presidential election. Given that 63% of eligible voters actually did vote, what is the probability that among the 1118 randomly selected voters , at least 732 actually did vote?