Answers to the following questions should be calculated in Matlab and given to 4

Question

Answers to the following questions should be calculated in Matlab and given to 4 decimal places. Be careful not to introduce errors by rounding in any intermediate calculations as this may lead to an incorrect final answer. Suppose that the diameters of particles in a sediment are distributed uniformly between 1 and 2.3 mm. Let D be the diameter of randomly chosen particle (a) Find E(D) (b) Find the standard deviation sd(D) (c) Find the proportion of particles with diameters between 1.1 and 1.5 mm

Explanation / Answer

a)E(D) =(a+b)/2 =(1+2.3)/2 =1.65

b)SD(D) =(b-a)/(12)1/2 =0.3753

c)P(1.1<X<1.5) =(1.5-1.1)/(2.3-1) =0.3077

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