What is the probability that y is less than 1

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Reference no: EM131422767

The sum of two uniform random numbers. 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 given Figure.

1716_Fig 01.jpg

(a) Verify by geometry that the area under this curve is 1.

(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. Do this for (c) also.

Reference no: EM131422767

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