Your colleague claims that the nanorods in problem 3 have a normal distribution for their diameters. with a mean of ?nm and a standard deviation of {1.6. Let X be the diameter of a randome sampled nanorod. 1. What is P{}(>1?} given that 1your colleague's claim is true? 2. Would a diameter of 1? nm he unusually large it the claim is true? Explain. 3. If the nanorod that 1you sampled has a diameter of 17-" nm, would it be evidence that your colleague's claim is false? Explain. 4. What is P{}(