Question-91

Central Limit Theorem

In a manufacturing company, each machine produces 600 bottles daily. If a bottle is selected uniformly at random, then the probability that the bottle is of good quality is \(60\%\). Using the Central Limit Theorem, find the approximate probability that a machine will produce more than 370 bottles that are of good quality on a particular day. Write your answer upto 2 decimal places.

Define \(X = \sum_{i=1}^{370}X_i\), where \(X_i\) represents the \(i^{th}\) bottle is of good quality.

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