Question

5. Use the propenties of the gamma function to t( poimts a. (a) r(S) (b) rz) 6 A long traffic light on your morning commute is green 20% of the time that you approach it. Assume that cach morning represents an independent r [10 points (a) Over 5 morning, what is the probability that the light is green on exactly one day? (b) Over 20 mornings, what is the probability that the light is green on exactly four days? 7. The breakdown time of an insulation fluid between electrodes at 34 kV. The times, in [12 points) minutes, are as follows: 1.31, 1.78, 1.96, 1.19, 2.78, 3.16, 1.15, and 2.76 (i) Ifơ-0.80. find a 95% two-sided confidence interval on the true mean yield; (ii) If σ is unknown, find a 95% two-sided confidence interval on the true mean yield

Answer 1

devtation 3369 2101125 t 1:959964 '4563 12.5656 erahom 795938 2-0)125 7-3656