Missed Work Hours Caused by One of a Class of Industrial

question 13

Short Answer

Missed work hours caused by one of a class of industrial accidents has a probability density function $f ( t ) = \frac { 1 } { 8 } e ^ { - t } + \frac { 3 } { 8 } e ^ { - t / 2 } + \frac { 1 } { 24 } e ^ { - t / 3 }$ where t is measured in hours.
-What proportion of these accidents result in more than 9 missed work hours?
Enter just a real number to two decimal places.

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Definitions:

Sample Mean

The average value of a sample set of data, calculated by summing all observations and dividing by the number of observations.

Population Mean

The average of all the values in a population; it is a parameter that represents the central point of a population distribution.

Unbiased Estimator

A statistical estimator that, on average, accurately reflects the parameter it estimates, without systematic error.

Sampling Distribution

The likelihood distribution of a statistic derived from a random sample.