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The strength of a standard structural steel for a certain construction project follows a normal distribution with mean 20 N/mm2 and variance 16 N/mm2. Find the probability that a randomly selected specimen from a supply batch of this steel has strength less than 25 N/mm2.
(a) Use the integral of the probability mass function,
(b) transform the normal distribution into a standard normal distribution and use the integral of the probability mass function for that distribution.
(c) Use the statistical tables for the cumulative standard normal distribution.
The quality control manager at a lightbulb factory needs to determine whether the mean life of a large shipment of lightbulbs is equal to the specified value of 375 hours.
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