Problem 1.6 Consider a sample of 10 marbles drawn independently from a bin that holds red and green marbles. The probability of a red marble is $\mu$. For $\mu=0.05, \mu=0.5$, and $\mu=0.8$, compute the probability of getting no red marbles $( u=0)$ in the following cases. (a) We draw only one such sample. Compute the probability that $ u=0$. (b) We draw 1,000 independent samples. Compute the probability that (at least) one of the samples has $ u=0$. (c) Repeat (b) for $1,000,000$ independent samples. SP.AS3711