Problem#1: The compressive strength of samples of cement can be modeled by a normal distribution with a mean of 600 0 kilograms per square centimeter and a standard deviation of 100 kilograms per square centimeter. a. What is the probability that a sample's strength is less than 6250 Kg/cm2? b. What is the probability that a sample's strength is between 5800 and 5900 Kg/cm2? What strength is exceeded by 95% of the samples? d. Answer parts a through cusing Excel functions. Either submit your Excel file or write down your Excel functions in detail as well as your answers from each function