Question

If the Classroom Building catches fire the amount of heat the structural support beams will be subjected to is

N(1403, 367²)

degrees.

a) What is the probability that a random fire will subject the beam to temperatures between 1007 and 1100 degrees?
Use 4 decimal places.


b) The beams are supposed to be built so that they only fail in 5% of the fires. What temperature do they need to be able to withstand?
Round to the nearest temperature.
degrees.

Answer 1

a)

Which is where is standard normal

Looking up tables, we find this value is (when rounded to 4 decimal places)

b) 95% of the area under standard normal is covered within 2 standard deviations of the mean

So the temperature range is

which is the interval

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