In the following table, the random variable x represents thenumber of laptop computers that failed during a drop-test of sixsample 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 thisdistribution.
b) Using the range rule of thumb, identify the range of valuescontaining the usual number of laptop failures among the sixlaptops that were tested. Is three laptops an unusually high numberof failures among six tested? Explain.
c) Find the probability of getting exactly one laptop that failsamong six laptops tested.
d) Find the probability of getting one or fewer laptops thatfail among six laptops tested.
e) Which probability is most relevant for determining whetherone laptop is an unusually low number of laptops to fail among sixlaptops tested: the result from part (c) or (d)? f) Is one laptopan unusually low number of laptops that fail among six laptopstested? Why or why not?
