# Grace Agate

Concordia University, St. Paul

Statistics

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!

## Questions

- What are the mean and standard deviation of a binomial probability distribution with #n=12 # and #p=31/32 #?
- What are the mean and standard deviation of a binomial probability distribution with #n=16 # and #p=12/47 #?
- 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?
- What are the mean and standard deviation of a binomial probability distribution with #n=112 # and #p=15/37 #?
- What does it mean if the mean an median of a data set differ greatly?
- In a game two fair number cubes are rolled. To make the first move, you need to roll a total of 6, 7, or 8. What is the probability that you will be able to make the first move?
- 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?
- Show that: #nCr = n-1Cr + n-1Cr-1# ??
- What is the difference between continuous and discrete data?
- 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 two dice are rolled once and one die rolled a second time if the first two rolls have same number, what is the probability that the two or three rolls will sum to over 15?
- If you roll two dice, what is the probability of rolling a 3 and an even number?
- Could someone explain to me the Rule of Compound Probability involving "and"?
- Let #X# be a binomial random variable with #p=0.3# and #n=15#. What is #P(5≤X≤10)#?
- A course has 2 sections, Section A and Section B. On the last exam, Section A's 10 students had an average score of 80, and Section B's 20 students had an average score of 90. What is the course average score on that exam?
- If you have a new deck of shuffled cards, what is the probability you will choose a red card? (52 cards, no jokers)
- What is the difference between the mean, median, and mode?
- A card is drawn from a standard deck. A second card is drawn, without replacing the first card. Consider the following events: Event A = The first card selected is red. Event B = The second card selected is black. What word describes the relationship between events A and B?
- You are dealt five cards from an ordinary deck of 52 playing cards. In how many ways can you get a full house and a five-card combination containing two jacks and three aces?
- Of the pupils in a school, 30% travel to school by bus. From a sample of 10 pupils chosen at random, what is the probability that more than 8 travel by bus?