In a study of the accuracy of fast food drive-through orders, one restaurant had 31 orders that were not accurate among 366 orders observed. Use a 0.05 significance level to test the claim that the rate of inaccurate adders is equal to 10% Does the accuracy rate appear to be acceptable?/ identify the null and alternative hypothesis.

Out of five men and five women, we form a committee consisting of four different people. assuming that each committee of size four is equally likely, find the probabilities of the following events: 1. the committee consists of two men and two women 2. the committee has more women than men. 3. the committee has at least one man. for the remainder of the problem assume that alice and bob are among the ten people being considered. 4. both alice and bob are members of the committee.