the solution is 4, please explain how to get this solution clearly and explain h
ID: 3363389 • Letter: T
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the solution is 4, please explain how to get this solution clearly and explain how to figure out which fraction is greater, thank you! calculator is NOT allows to be use in my class or exams so please explain how to do this without calculators or with an algorithm
118. Consider an experiment in which event E occurs with probabit is the minimum mark 10 number of independent trials of this experiment that would need to be performed in ordeir to have the probability of having E occur at least once be more than 1000 A: 5 B: 4 C: 3 D: 2Explanation / Answer
We have X ~ Binom(N, 0.8)
P(X >= 1) = 1 - P(X = 0) > 995/1000
=> P(X = 0) < 1 - 995/1000
=> P(X = 0) < 5/1000
=> P(X = 0) < 0.005
P(X = 0) = (1 - 0.8)N < 0.005
= 0.2N < 0.005
=> N < log0.2 0.005
=> N < log 0.005 / log 0.2
=> N < -2.3010 / -0.6990
=> N < 3.2918
The minimum number of trials would be 4 since 4 is the least integer greater than 3.2918.
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