Generate two random numbers between 0 and 1 and take Y to be their sum. Then Y i

Question

Generate two random numbers between 0 and 1 and take Y to be their sum. Then Y is a continuous random variable that can take any value between 0 and 2. The density curve of Y is the triangle shown in the figure below Height = 1 3. (a) What is the area under the curve? (b) What is the probability that Y is less than 1? (Sketch the density curve, shade the area that represents the probability, then find that area. Enter your answer to one decimal place.) (c) What is the probability that Y is less than 1.5? (Sketch the density three decimal places.) curve, shade the area that represents the probablity then find that area. Round your answer to

Explanation / Answer

a) for area =(1/2)*base *height =(1/2)*2*1=1

b)Probability that Y is less then 1 =area below point 1 =(1/2)*(1)*1 =1/2 =0.5

c) probability that Y is less then 1 =1-P( area beyond point 1.5) =1-(1/2)*0.5*(1/2) =1-0.125=0.875

please revert for any clariifcation required.

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