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Example 5.9 from Statistics, 5.3 The Exponential Distribution (Optional)
(part 4)
d. What is the probability that a computer part lasts between nine and 11 years?
Work it out on paper first. Then open the solution one step at a time, and stop as soon as you can finish on your own.
Solution
d. Find P(9 < x < 11). Draw the graph.
Figure 5.27P(9 < x < 11) = P(x < 11) – P(x < 9) = (1 – e(–0.1)(11)) – (1 – e(–0.1)(9)) = 0.6671 – 0.5934 = 0.0737. The probability that a computer part lasts between nine and 11 years is 0.0737.
Discussion
Using the TI-83, 83+, 84, 84+ Calculator
On the home screen, enter e^(–0.1*9) – e^(–0.1*11).
0 of 2 steps open
How did it go?