# 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

- In the binary number system which is used in computer operations, there are only two digits allowed: 0 and 1. If eight binary digits are used, how many different binary numbers can be formed?
- What are some benefits of using a sample instead of a census?
- How can convenience samples be biased?
- Can you help me with this algebra 2 question?
- A study of 36 camels showed that they could walk an average rate of 4.2 km/hr. the sample standard deviation is .64. Find the 90% confidence interval for mean of all camels?
- What does it mean if the mean and median of a data set differ greatly?
- If two fair coins are tossed, what is the probability of getting two heads?
- What are the mean and standard deviation of the probability density function given by #p(x)=tankx^2# for # x in [pi/8,(5pi)/12]#, in terms of k, with k being a constant such that the cumulative density across the range of x is equal to 1?
- What's the difference between the population mean of a variable, the distribution of sample means of a variable, and the mean of a variable?
- In a two child family, if one child is a boy, what is the probability that the other child is a girl? If the first child is a boy, what is the probability that the second is a girl?
- What is the mean, median, and mode of 14, 15, 15, 16, 17, 20, 21, 21, 21?
- He time it takes for climbers to reach the highest point of a mountain is normally distributed with a standard deviation of 0.75 hours. If a sample of 35 people is drawn randomly from the population, what would be the standard error of the mean?
- Why can the median of a data set differ from the mean?
- What is the formula of the expected value of a geometric random variable?
- Given a set # {-3,x,3,4,6,5,-3,2} #, for what x would the mean of the set be -1?
- At a party each guest shook hands with every other guest exactly once. There were a total of 105 handshakes. How many guest were there?
- Given the set: # {-3,-7,18,x,-12,-9,2} #, for what x would the mean of the set be 0?
- A family has 6 children. I've figured out that there are 64 different ways the genders of the kids can work out. What's the probability that there's at least 1 boy in the family?
- What is meant by a 95% confidence interval?
- 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}#?