Question

3. A sample of 100 people is drawn from a population of 600,000. If it is known that 40% of the population has a specific attribute, what is the probability that 35 or fewer in the sample have that attribute. (a) Write down the mathematical expression for this probability in terms of a sum of hypergeometric probabilities. (b) Then use R to compute the probability in part (a). Hint: use phy- per( ) function in R. (c) Next, use the R function sample( ) to generate 5000 samples of size 100 (use set.seed = 12345) and see how many of them have 35 or fewer of the special members. Compare this simulation-based estimate of the probability with the exact probability in part (b). ( please put on the code of R)

Answer 1