This is all about PDF and Normal Distribution. Provide HANDWRITTEN detailed solution and clean solutions. Minimize erasures and provide a clear writings. Thank you and Godbless.

7. A certain machine produces bolts with a mean diameter of 4.5 mm with a standard deviation of 0. 1 mm. A bolt is considered defective if the diameter is less than 4.4 mm or more than 4.6 mm. (a) Find the probability of selecting a defective bolt. (b) Find the probability that 3 out of 5 bolts selected at random is defective. (c) Find the probability that 3 out of 5 bolts selected at random is not defective