Question

Consider a sample of 10 marbles drawn from a bin that has red and green marbles. The probability that any marble we draw is red is (independently). For μ = 0:05, μ = 0:5, and μ = 0:8, we address the probability of getting no red marbles (μ = 0), in the following cases.

(i) We draw only one such sample. Compute the probability that μ = 0.

(ii) We draw 1,000 independent samples. Compute the probability that (at least) one of the samples has μ = 0.

(iii) Repeat (ii) for 1,000,000 independent samples.

Answer 1