If Y is the smailest item of 3 independent observations X, X2, X, from a Weibull distribution with parameters a and B, show that Y also has a Weibull distri- bution. What are its parameters?
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- The article cited in Exercise 20 also gave the followingvalues of the variables y 5 number of culs-de-sac andz 5 number of intersections:y 1 0 1 0 0 2 0 1 1 1 2 1 0 0 1 1 0 1 1z 1 8 6 1 1 5 3 0 0 4 4 0 0 1 2 1 4 0 4y 1 1 0 0 0 1 1 2 0 1 2 2 1 1 0 2 1 1 0z 0 3 0 1 1 0 1 3 2 4 6 6 0 1 1 8 3 3 5y 1 5 0 3 0 1 1 0 0z 0 5 2 3 1 0 0 0 3a. Construct a histogram for the y data. What proportionof these subdivisions had no culs-de-sac? Atleast one cul-de-sac?b. Construct a histogram for the z data. What proportionof these subdivisions had at most five intersections?Fewer than five intersections?Suppose that receiving stations X, Y, and Z are located on a coordinate plane at the points (4,4), (−12,−4), and (−6,9), respectively. The epicenter of an earthquake is determined to be 5 units from X, 13 units from Y, and 10 units from Z. Where on the coordinate plane is the epicenter located?Suppose that receiving stations X, Y, and Z are located on a coordinate plane at the points (15,7), (−9,−3), and (−9,7), respectively. The epicenter of an earthquake is determined to be 13 units from X, 13units from Y, and 13 units from Z. Where on the coordinate plane is the epicenter located?