please help this probability and statistics question with clear steps and also expatiation, thankkk so much

7. The diameter of an electric cable follows N(0.80, 0.042).+ [a] What is the probability that the diameter will exceed 0.81cm? (5 marks) [b] The cable is considered defective if the diameter differs from its mean by more than 0.12 cm. What is the probability of obtaining a defective cable? (8 marks) [c] Let Y be the number of defective cables found in a sample of size 5. Identify the distribution of Y and its parameters. Find the probability that exactly two cables are defective in the sample of size 5. (7 marks)