Question: Hi! could you please help with this question and explain it to me: Generate two random numbers between 0 and 1 and take Y to

Hi! could you please help with this question and explain it to me:

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 2 (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 greater than 1.5? (Sketch the density curve, shade the area that represents the probability, then find that area. Enter your answer to three decimal places.) (d) What is the probability that Yis greater than 0.5? (Enter your answer to three decimal places.) eBook Submit

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