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Missed Work Hours Caused by One of a Class of Industrial

Question 56

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Missed work hours caused by one of a class of industrial accidents has a probability density function f(t)=18et+38et/2+124et/3f ( t ) = \frac { 1 } { 8 } e ^ { - t } + \frac { 3 } { 8 } e ^ { - t / 2 } + \frac { 1 } { 24 } e ^ { - t / 3 } where t is measured in hours.
-Dr. Smith's test score distribution is characterized by the probability density function f(x)=x(10,000x2)25,000,000f ( x ) = \frac { x \left( 10,000 - x ^ { 2 } \right) } { 25,000,000 } , 0x1000 \leq x \leq 100 . What percentage of people are likely to get a 60 or above on the exam? Enter just a real number to two decimal places (no units).

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