Amy, a computer programmer, produces code that, on average, has 1 syntax error per 175 lines of code. Her number of syntax errors is a Poisson random variable. (a) Amy writes a program that has 475 lines of code. Let X be the number of syntax errors in her program. Find the expected value of X. 2.71428571429 (b) Suppose Amy has a program with exactly 475 lines of code. Find the probability that this program will have more than 2 syntax errors.