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- A density curve consists of the line segment connecting the points (0,1) and (0.5,1) and the segment connecting(0.5, 1) to the x-axis.a. Determine the coordinate point where the second segment crosses the x-axis.b. Determine the slope of that segmentc. Determine the equation of the line containing this segment (y = mx + b)d. Calculate the probability P(X > 1)Let Xi and X2 be independent random variables each having the standard normal distribution. Consider the circle centered at the origin and passing through the point (X1, X2). What is the probability density of the area of the circle?Let the random variable X follow a gamma distribution with α = 4 and β = 4. If Y = X2 what is the density function of Y?
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