MATHEMATICS · Multi-part · AP · AP Statistics · Probability Random Variables Distributions · Probability Random Variables Distributions
Problem
In a bag-and-replace experiment, a marble is drawn from a bag, the colour is noted, and the marble is put back before the next draw. The experiment was repeated 90 times and a red marble was obtained 27 times.
(i) Find the empirical probability of drawing a red marble.
(ii) Using your answer from part (i), find the probability of not drawing a red marble in a single draw.
(iii) If the experiment is repeated 300 more times under the same conditions, estimate the number of draws in which a marble that is not red will be obtained. Show all steps.