Derivation of CLT
Test scores distribution
Explain what is wrong with the claim that test scores should be normally distributed when a large number of students take a test.
Can you imagine a scenario with a good argument that test scores would be normally distributed?
(Hint: think about the composition of a single test instead of the number of students taking the test.)
Height follows a bell curve
The height of female American basketball players follows a bell curve. Why?
Estimating S1000
The odds of a random poker hand containing one pair is 0.42.
Estimate the probability that at least 450 out of 1000 poker hands will contain one pair.
Nutrition study
A nutrition review board will endorse a diet if it has any positive effect in at least 65% of those tested in a certain study with 100 participants.
Suppose the diet is bogus, but 50% of participants display some positive effect by pure chance.
What is the probability that it will be endorsed?
Answer