6- Let X denote the operation of earthwork in (m3 ) by a surveying company. The long time record shows that they fill and cut 2500 m3 of the earth per month. (Hint: Here an event is one month. An event which is one month happens for 2500 ft3 earth work)
a) What is the probability of the company operating earth work between 2300 m3 and 3150 m3 in a month?
b) What is the probability of the company operating at least 2400 m3 in 20 days?
c) What is the probability of the company operating exactly 2650 m3 in one month?
d) What is the mean and standard deviation of X.
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