Consider the production of a product that goes through TWO stages sequentially. The times taken at each stage is normall

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Consider the production of a product that goes through TWOstages sequentially. The times taken at each stage is normallydistributed as follows t1~N5 hrs, 15mins. andt2~N3.5 hrs, 45 mins.. In stage 1 theworkers are paid @ $18/hour and in stage 2 the workers are paid @$25/hour. (i) What is the distribution governing the time taken tomanufacture a unit of the product? (ii) What is the distribution ofthe labor cost of production per unit? (iii) Suppose themanufacturer is to bid for a contract to supply 100 units of theproduct. To be safe, it uses a cost assumption (C) such that theactual cost has a 75% chance of being lower than the assumed cost:what is the value of C? (Hint: for (iii) treat thecost of each unit as a random variable)