2/27/2023

Reminder: Short Paper #1 is due on Friday, March 4

Reminder about a few R commands

• dbinom(x, n, p) provides the probability of exactly x successes in n Bernoulli trials, each with probability p
• dgeom(y, p) provides the probability of y failures before the first success for a geometric(p) R.V.
• dnbinom(y, r, p) provides the probability of y failures before the rth succcess, each with probability p

Overview of the Central Limit Theorem

• For sums of random variables
• For averages of random variables

Class Activities

• State the CLT for a sample proportion
• Practice problems with R for geometric, negative binomial, and Poisson distribution - see handout

Please read Section 5.2 for class on Wednesday.