Grace Agate

Grace Agate

Concordia University, St. Paul

Statistics teacher | Verified Expert

I am a dedicated educator specializing in Statistics, holding a degree from Concordia University, St. Paul. With a passion for demystifying statistical concepts, I bring a wealth of knowledge to guide students through the intricacies of the subject. My goal is to foster a deeper understanding and appreciation for statistics, making it accessible and enjoyable. Let's embark on a journey of learning and discovery together!


  • Suppose that in a certain game, a player rolls an ordinary six-sided number cube. If the cube lands on 6, the player is paid $4. If the cube lands on any other number, the player loses $1. What is the player’s mathematical expectation?
  • Can someone help me with this question?
  • Can someone explain in few sentences, what these terms in statistic means? Descriptive statisics, Pareto diagram, outliers, contingency table, hypothesis testing and multiple regression analysis. What is the purpose of these terms?
  • A bag contains 5 blue marbles, 6 red marbles, and 9 green marbles. Two marbles are drawn at random. What is the probability of first drawing a blue marble and then, without replacing it, drawing a red marble?
  • If S is a set with 10 elements and A is subset of S, what is the probability that A has 3 or more elements?
  • A federal report stated that 88% of children under 18 were covered by health insurance in 2000. How large a sample is needed to estimate the true proportion of covered children with 90% confidence with a confidence interval of .05 wide?
  • Show that: #nCr = n-1Cr + n-1Cr-1# ??
  • A fair die is rolled n=113 times, each time observing the number of dots appearing on the topside of the die. The number of dots showing on the topside of toss i is a random variable represented by Xi. What is the mean and standard deviation of Xi?
  • Choosing a purple green black or silver bike having 10 18 22 or 24 speeds? What is the sample space
  • A group of twenty female and twenty male students are in a room. If eight of the #40# are selected at random and put in a row for a picture, what is the probability that the eight are of the same gender?
  • For a population of size N=120 with a mean of 7.5 and a standard deviation of 1.5, find the estimated standard error of the mean for the following sample sizes:(i)n=9 (ii)n=25 ?
  • Sarita flipped a fair coin and it landed showing heads 30 times out of 50. What is the theoretical probability of getting heads the next time?
  • John is going to pack 2 T-shirts for basketball practice. He has 2 White shirts, 3 blue shirts, 1 green shirt, and 3 black shirts in her drawer. If John chooses the 2 shirts at random, What is the probability that he will pack 2 blue T-shirts?
  • When should an F-test be used?
  • How do you derive a cumulative density function from a probability density function?
  • What is a discrete probability distribution? What two conditions determine a probability distribution?
  • What is the probability that the deal of a five-card hand provides no aces?
  • Is the standard deviation of a data set invariant to translation?
  • What is the standard deviation of {12, 13, 31, 11, 5, 20, 10, 140, 1, 8, 9}?
  • What is the standard deviations of {1,3,5,5,7,9,10,11,13,15,15,17,17,17}?