# 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

- Let #X# be a binomial random variable with #p=0.3# and #n=15#. What is #P(5≤X≤10)#?
- How do you use the central limit theorem?
- 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?
- What are the mean and standard deviation of a binomial probability distribution with #n=130 # and #p=7/9 #?
- If the probability of events A & B occurring are P(A) = 0.3 and P(B) = 0.8, what is the probability that both A & B occur?
- What is #P(x)# for #n=3. x=1, p=0.9#?
- What are the mean and standard deviation of a binomial probability distribution with #n=10 # and #p=4/5 #?
- 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 ?
- In how many ways can the digits in the number 9,164,461 be arranged?
- What is the purpose of a placebo group in an experiment?
- What are the mean and standard deviation of a binomial probability distribution with #n=100 # and #p=1/10 #?
- What is the probability that a fair coin lands on heads on 4 out of 5 flips?
- What is the geometric mean of the pair of numbers 576 and 4?
- Is the "area of a playground" discrete or continuous? Why?
- What is the standard deviations of {1,3,5,5,7,9,10,11,13,15,15,17,17,17}?
- 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?
- Four numbers have a mean and median of 10, none of the numbers are 10. What are the four numbers?
- Is "A pair of dice is rolled, and the sum to appear on the dice is recorded" continuous or discrete data? Why?
- Can we conclude, at the 0.05 level of significance, that the mean travel times of the two routes are different?
- What is the relationship between a hypothesis and a theory?