Hand written

Comprehension and Computation: Answer the following problems using "handwritten". Capture your answers and convert them in PDF. 1. Explain the concept of Statistics and Its application in the field Industrial Engineering. (20 pts.) 2. The foreman of bottling plant has observed that the amount of soda in each "32-ounce" bottle is actually a normally distributed random variable, with a mean of 32.2 ounces and a standard deviation of .3 ounce. a. If the customer buys one bottle, what is the probability that the bottle will contain more than 32 ounces? (20 pts.) b. If a customer buys a carton of four bottles, what is the probability that the mean amount of the four bottles will be greater than 32 ounces? (20 pts.)