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Improper Integrals
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Improper Integrals
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11. Techniques of Integration / Improper Integrals / Problem 2
Problem 2
The probability that a machine part fails after
c
c
hours of use is
0.00003
∫
c
∞
e
−
0.00003
t
d
t
0.00003 \(\int\)_{c}^{\(\infty\)} e^{-0.00003t} \, dt
. Find the probability that the part fails after
25
,
000
25,000
hours. Round your answer to two decimal places.
A
0.47
0.47
B
0.38
0.38
C
0.54
0.54
D
0.74
0.74
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