Grace Agate

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?
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