Application
For each statement below, use the "long-run relative frequency" definition of probability from this lab to explain in your own words what it means to say "the probability of..." in each case. To do so, clarify (i) what random process is being repeated over and over again and (ii) what relative frequency is being calculated. Your answer should not include the words “probability,” “chance,” "odds," or “likelihood" or any other synonyms of "probability."
(l) The probability of getting a red M&M candy is .2.
(m) The probability of winning at a ‘daily number’ lottery game is 1/1000.
Hint: Your answer should not include the number 1000!
(n) There is a .3 probability of rain tomorrow.
(o) Suppose 70% of the population of adult Americans want to retain the penny. If I randomly select one person from this population, the probability this person wants to retain the penny is .70.
(p) Suppose I take a random sample of 100 people from the population of adult Americans (with 70% voting to retain the penny). The probability that the sample proportion exceeds .80 is .015.
