Mathematics, 24.06.2021 22:00 rw050202
Consumer Reports indicated that the average life of a refrigerator before replacement is 14 years with a standard deviation of 2.5 years. Assume the age a refrigerator is replaced is normally distributed.
A.) State the random variable
B.) What is the probability that someone will keep a refrigerator fewer than 11 years before replacement?
C.) What is the probability that someone will keep a refrigerator more than 18 years before replacement?
D.) What is the probability that someone will replace a refrigerator between 8 and 15 years?
E.) Suppose a company guarantees refrigerators and will replace a refrigerator that breaks while under guarantee with a new one. However, the company does not want to replace more than 5% of the refrigerators under guarantee. For how long should the guarantee be made (rounded to the nearest tenth of a year)?
F.) If it turns out that 40$ of all new refrigerators need to be replaced withing 10.5 years, is there an issue with the manufacturing process? Have some numbers to back up your reasoning.
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Consumer Reports indicated that the average life of a refrigerator before replacement is 14 years wi...
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