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Question

# Eleven bags of wheat flour, each marked 5 Kg, actually contained the following weights of flour (in kg): 4.97, 5.05, 5.08, 5.03, 5.00, 5.06, 5.08, 4.98, 5.04, 5.07, 5.00 Find the probability that any of these bags chosen at random contains more than 5 kg of flour.

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Solution

## The total number of trials is 11. Remember the empirical or experimental or observed frequency approach to probability. If n be the total number of trials of an experiment and A is an event associated to it such that A happens in m-trials. Then the empirical probability of happening of event A is denoted byand is given by Let A1 be the event that the actual weight of a chosen bag contain more than 5 Kg of flour. The number of times A1 happens is 7. Therefore, we have

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