Based on what you found in part a}, are these findings consistent with delivery times being distributed uniformly between 30 and 60 minutes? Why or why not? Note: there is no need for a formal test here, just an informal discussion (for which the formulas for the mean and variance of a uniform distribution that you can look up on Wikipedia will be useful). Suppose you assume instead that delivery times are normally distributed (rather than uniform} with the mean and standard deviation you found in part a). Using the estimates from part a), construct an interval into which you expect 95% of delivery times to fall. Repeat this exercise, but replace 95% with 80%. How do these intervals compare with what you would have concluded had you just assumed that delivery times were distributed uniformly between 30 and 60 minutes? Continuing to assume a normal distribution, what is the probability that a given pizza is delivered in 45 minutes or less? How about 40 minutes or less? 50 minutes or more? Compare these answers to what you would conclude under the uniform assumption. Ifyou were to implement a policy of only charging for pizzas that are delivered in under 50 minutes, would it matter which distribution was the correct one? Why or why not? (Note: you do not need to compute anything here, just answer the question from an intuitive sta nd point)