Question: 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,

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)

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