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Consider the following probability distribution function for a continuous random variable:
f(x) = 3x62/35 -2<x<-3 =0 elsewhere
a) Show that this function satisfies the requirements of a probability distribution function.
b)Calculate the expected (mean) value of x.
c)Calculate the variance and the standard deviation of x.
Calculate the probability of the following cases:
a) x=<0
b) 0 < x :s 1 .
c) x = 2.
A vehicle of mass 1500kg and track 1.8m has a centre of mass located centrally at 1,1m above the ground. It has to travel around a bend of 56m radius to the centre of mass.
Determine if the shaft has infinite fatigue life. If not, determine the number of cycles to failure. Also determine the safety factor for first cycle yield and draw a free body diagram, shear and moment diagrams, and graph the loads on the shaft..
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