Stress is applied to a 20-in. Steel bar that is clamped in a fixed position at each end. Let= 10 andY be the distance from the left end at which the bar snaps with E(Y)Y/20 has a standard beta distribution:Var(Y)= 100/7. suppose Uf(u; a, ß):=α= 3, ß 3[(a+ß)Γ(α)Γ(β)a. What are the parameters a and ß of the relevant standard beta distribution?b. Compute P(Y > 12).α-1u-(1 − u)B-1; 0

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Answered: a. What are the parameters a and ß of…

A First Course in Probability (10th Edition)

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Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Heart rates are determined before and 30 minutes after a Kettleball workout. It can be assumed that heart rates (bpm) are normally distributed. Use the data provided below to test to determine if average heart rates prior to the workout are significantly lower than 30 minutes after a Kettleball workout at the 0.02 level of significance. Let u1 = mean before workout. before 61 75 60 61 70 73 68 after 62 73 62 65 75 74 71 Select the correct Hypotheses: Ho: µd µ2 Ho:µ1 = 0 Ho:µ1 0 Ha: µ1 µ2 = µ2 Ho: µd 20 Ho: µld Test Statistic %3D [three decimal accuracy] p-value = [three decimal accuracy] Conclusion: O Fail to Reject Ho O Reject Ho

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a. What are the parameters a and ß of the relevant standard beta distribution? α = 3, B = 3 b. Compute P(Y > 12).