In the following table, the random variable x represents the number of laptop computers that failed...

In the following table, the random variable x represents the number of laptop computers that failed during a drop-test of six sample laptops. Use the table to answer the questions a) - e) below.
x 0 1 2 3 4 5 6

P(x) 0.377 0.399 0.176 0.041 0.005 0.000 0.000

a) Find and report the mean and the standard deviation of this distribution.

b) Using the range rule of thumb, identify the range of values containing the usual number of laptop failures among the six laptops that were tested. Is three laptops an unusually high number of failures among six tested? Explain.

c) Find the probability of getting exactly one laptop that fails among six laptops tested.

d) Find the probability of getting one or fewer laptops that fail among six laptops tested.

e) Which probability is most relevant for determining whether one laptop is an unusually low number of laptops to fail among six laptops tested: the result from part (c) or (d)? f) Is one laptop an unusually low number of laptops that fail among six laptops tested? Why or why not?

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milcah answered 3 months ago

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