P 9. A candy maker produces mints that have a label weight of 15 grams. Assume that the distribution of the weights is continuous uniform in the interval [14.8,15.6]. To test a batch of mints, 12 mints are sampled independently and weighed. If the sample mean of the batch exceeds 15.1 grams, it passes. a) Estimate the probability of passing the test. b) How many grams should it exceed to ensure 99% probability of passing