The manager of a computer retails store is concerned that his
suppliers have been giving him laptop computers with lower than
average quality. His research shows that replacement times for the
model laptop of concern are normally distributed with a mean of 3.5
years and a standard deviation of 0.4 years. He then randomly
selects records on 9 laptops sold in the past. Round the answers of
following questions to 4 decimal places.
a. What is the distribution of X? X ~ N (________, _________
)
b. What is the distribution of `x? x ~ N (________, _________
)
c. What is the probability that one randomly selected laptop is
replaced more than 3.6 years? ____________
d. For 9 laptops, find the probability that the average replacement
time is more than 3.6 year
e.For part d), is the assumption of normal necessary? Yes or No
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