Question 1 [20 marks} Your manufacturing plant produces a product with a defect rate as follows: Number of defects per shift [X] Frequency 2000 Assume your product's manufacturing time is normally distributed with a mean of 54 minutes and a standard deviation of4 minutes. What is the probability that a product can be manufactured in under 45 minutes? What is the probability that a product takes longer than 1 hour to manufacture? e. f. g. What proportion of manufacturing is completed within 5060 minutes? h. How long does it take to manufacture 90% of products