2. It is known that amounts of money spent on textbooks in a year by students on a particular campus follow a normal distribution with mean $380 and standard deviation E50. a) What is the probability that a randomly chosen student will spend less than $400 on textbooks in a year? b) What is the probability that a randomly chosen student will spend between $300 and E400 on textbooks in a year? c) Suppose a sample of 25 students is collected. How will the sample mean be distributed? What is its mean and standard deviation? d) What is the probability that the sample mean will be between $375 and E385