(a) Suppose the number of faulty screws follows Binomial Distributions. n! P(r) r! Every batch contains 15% of defective

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A Suppose The Number Of Faulty Screws Follows Binomial Distributions N P R R Every Batch Contains 15 Of Defective 1 (90.52 KiB) Viewed 41 times

(a) Suppose the number of faulty screws follows Binomial Distributions. n! P(r) r! Every batch contains 15% of defective screws on average. For a batch of 10 screws, what is the probability to be accepted if one defective is found? (n-r)!/?P"(1-p) " (5 marks) (b) On average, three customers enter a shop within an hour following a Poisson Distribution. P(r) = u -ét where u = np r! What is the probability that only TWO or fewer customers enters the shop in one hour? (10 marks) (c) The part-time workers in a construction company are paid on average $6.50 per hour with a standard deviation of $1.30 per hour. Assume the hourly pay follows a Normal Distribution. What percentage of the employees receive hourly pay between $4.50 and $8.50 (15 marks) Round the answer to 4 decimals places.