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Let X denote the length in minutes of a long-distance telephone conversation. Assume that the density for X is given by
f(x)=(1/10)e^(-x/10) where x>0
a. Verify that f is a density for a continuous random variable.
b. Assuming that f adequately describes the behavior of the random variable X, findthe probability that a randomly selected call will last at most 7 minutes; at least 7 minutes; exactly 7 minutes.
c. would it be unusual for a call to last betweel 1 and 2 minutes? Explain based on the probabliity of this occuring.
d. Sketch the graph of f and indicate in the sketch the area corresponding to each of the probabilities found in part b.
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You just finished getting your data, made sure there were no fliers and the data was correct You created a mean and standard deviation and ran your Z test at the 0.05 alpha Your decision rule is 1.645 and your Z test statistic ( step 3 ) is 1.647
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