Suppose you are taking the anti-bug device powered by the battery

| August 30, 2017

uestion
Suppose you are taking the anti-bug device powered by the battery types from Problem 3 on an around the world trip in 80 days (inspired by Jules Verne), andyou bring 60 batteries in total. Using the CLT, compute the probability that themachine will function throughout the trip. (HINT: Let T1, …,T60 the lifespan ofeach battery, which are Exponential with lambda=1/40 (per hour). Let S=T1+…+T60 be the total lifespan of the batteries. You need to calculate P(S>80*24), as there are 24 hours in a day. By the CLT, S is Normal(60*E(T1),60*V(T1)), etc).

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