Snack food companies always have a target weight when filling a box of snack crackers. It is not possible, however, to always fill boxes to the exact target weight. For a particular box of crackers, the target weight is 14 ounces. The filling machine drops Bergen 13.5 and 15 ounces of crackers into each box. Let these weights be uniformly distributed. 

a. What is the probability that the weight in a box will be less than 14 ounces? 

b. What is the probability that the weight in a box will be between 14.5 and 15.5 ounces? 

c. Calculate the expectation and standard deviation of these weights.