Refer to Exercise 5. Suppose 10 pendulums are constructed. Find the probability that 4 or more have
Question:
Refer to Exercise 5. Suppose 10 pendulums are constructed. Find the probability that 4 or more have periods greater than 3 seconds.
Data From Exercise 5:
The period \(T\) of a simple pendulum is given by \(T=\) \(2 \pi \sqrt{L / g}\) where \(L\) is the length of the pendulum and \(g\) is the acceleration due to gravity. Assume that \(g=\) \(9.80 \mathrm{~m} / \mathrm{s}^{2}\) exactly, and that \(L\), in meters, is lognormal with parameters \(\mu_{L}=0.7\) and \(\sigma_{L}^{2}=0.05\).
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