What is a concept of independent events


Solve the following:

How to calculate probabilities without knowing the std deviation.

Population = 3005

Calculate P(x-bar > 50.8) for sample size of n = 253

Calculate P(x-bar > 50.6) for sample size of n = 134

Calculate P(x-bar > 51) for sample size of n = 119

Then combine the two probabilities 51 and 50.6 into one using the concept of independent events.

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