5. The period T of a simple pendulum is given by T = 2n√L/g where L is the length of the pendulum and g is the accelerat

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5 The Period T Of A Simple Pendulum Is Given By T 2n L G Where L Is The Length Of The Pendulum And G Is The Accelerat 1 (36.5 KiB) Viewed 39 times

5. The period T of a simple pendulum is given by T = 2n√L/g where L is the length of the pendulum and g is the acceleration due to gravity. Assume that g = 9.80m/s² exactly, and that L, in meters, is lognormal with parameters μ = 0.7 and 2 = 0.05. L a. Show that I is lognormally distributed, and com- pute the parameters, and o7. (Hint: In T = 0.5 In L + In 2-0.5 ln g.) b. Find P(T> 3). c. Find P(1.5 < T < 3). d. Find the mean of T. e. Find the median of T. f. Find the standard deviation of T. g. Find the 15th percentile of T. h. Find the 85th percentile of T.