The time that a machine is out of action when it breaks down is normally distributed with mean 8 hours and standard deviation 2 hours.
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what is probability that on a randomly selected breakdown, the machine is out of order for (i) more than 11 hours (ii) less than 7 hours
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What is the time out of action that is exceeded in 75% of breakdowns?
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If the machine is out of action for more than 8 hours, an alternative machine is hired at a cost of $50, if it is needed for less than 2 hours and $100, if it is needed for more than 2 hours. If the machine is out of action for less than 8 hours, no alternative machine is hired. Calculate the mean amount spent per breakdown on hiring an alternative machine.
Can any kind soul please solve it?
Jazak Allah