Suppose that the total carbohydrates in the listed cereals areapproximated by a normal curve with a mean of 30.7931 and astandard deviation of 8.8858. What is the probability that arandomly selected cereal has at most 25 grams of carbohydrates?What is the probability that a randomly selected cereal has atleast 45 grams of carbohydrates? What is the probability that arandomly selected Kellogg’s cereal has between 30 and 40 grams ofcarbohydrates? What amount of carbohydrates would separate thelowest 10% of Kellogg’s cereals? What amount of carbohydrates wouldseparate the highest 5% of Kellogg’s cereals? Show your work orcalculator syntax