# Gabriel Allred

The University of Texas Health Science Center at San Antonio

Statistics

Statistics teacher | Verified Expert

With a Statistics major from The University of Texas Health Science Center at San Antonio, my passion lies in demystifying numbers and fostering a deep understanding of mathematical concepts. As an experienced tutor, I excel in breaking down complex statistical theories into digestible bits, empowering students to conquer any data-related challenge. My approach focuses on personalized guidance, tailored to individual learning styles, ensuring every student reaches their full potential. Let's embark on a journey of statistical mastery together.

## Questions

- 75% students passed math, 85% passed chemistry, and 90% passed math or chemistry. A student is selected at random. What is the probability that the student passed mathematics, given that the student passed chemistry?
- A basketball team plays 60% of its games at home. The home court advantage is obvious, because the team wins 70% of its home games, but when they play away, they win only 35% of their games. Create a tree diagram to illustrate the paths for home and away games and the outcome of winning or losing for each type of game.
- What are the mean and standard deviation of a probability density function given by #Pr(X=k) = (24^ke^-24)/(k!) # for #k in {0,1,2... oo}#?
- What is the CRITICAL VALUE for a one-tailed t-test with df=54 and α=.05 ?
- What does a negative covariance mean?
- In a 7 horse race, Bill thinks horses 1, 4, 6, will be the top 3 horses in the race, but not necessarily in that order. If Bill is correct, how many different outcomes are possible?
- Barbara and John and six other people go through a doorway one at a time. Find the number of ways in which the eight people can go through the doorway if John goes through the doorway after Barbara?
- How do you write down 5 numbers where the mean is 7 and the median and mode are 6?
- From all the permutations of 5 different letters from the 7 letters D, E, C, I, M, A, and L, how many begin and end with a consonant?
- What is the #Z#-score value that separates the top #70%# of a normal distribution from the bottom #30%#?
- The coach says that the probility of winning the next game is 40%. what are the odds that team will win?
- Assume that a procedure yields a binomial distribution. What is the probability of x successes if n = 64, x = 3, and p = 0.04?
- How do you find the mean, median, and mode of the following frequency distribution table?
- What is the mean, median, and mode of 6, 12, 12, 16, 24?
- When would the mode of a data set differ significantly from both the mean and median?
- Four men and four women have just six tickets in one row to the theater. In how many ways can they sit if the first person in the row is a woman and the people alternate woman,men?
- Tyler played 5 games of basketball. The mean was 10 points. The median was 12 points. What might each of his scores be?
- What is #P (Z< -2.12)#?
- What is the mode of the numbers: 153, 157, 163, 165, 166, 169, 170, 173, 176, 185?
- Is it possible to have a p value of 0.00?