The average life expectancy of dishwashers produced by a company is 6 years with a standard deviation of 8 months. Assume that the lives of dishwashers are normally distributed.
a.What is the probability that a randomly selected dishwasher will have a life expectancy of at least 7 years?
b.Dishwashers that fail operating in less than 4 
years will be replaced free of charge. What percent of dishwashers are expected to be replaced free of charge?
c.What are the minimum and the maximum life expectancy of the middle 95% of the dishwashers' lives? Give your answer in months.
d.If 155 of this year's dishwasher production fail operating in less than 4 years and 4 months, how many dishwashers were produced this year?
Definitions:
Initiated
refers to the act of starting or setting something in motion, often used in the context of projects, programs, or legal proceedings.
Voluntary Recognition Agreement
A legal agreement where an employer acknowledges a labor union as the representative of its employees without requiring a formal vote.
Authorization Cards
Documents signed by employees to designate a union as their representative for collective bargaining purposes.
Union
A structured group of employees created to safeguard and advance their rights and benefits.
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