The following weights of flour were really included in eleven bags of wheat flour that were each marked as 5 kg (in kg).

4.97, 5.05, 5.08, 5.03, 5.00, 5.06, 5.08, 4.98, 5.04, 5.07, 5.00

What is the probability that any of these bags chosen at random contains more than 5 kg of flour?

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Detailed Solution

Given that, a data on the weights of 11 bags of wheat flour.
4.97, 5.05, 5.08, 5.03, 5.00, 5.06, 5.08, 4.98, 5.04, 5.07, 5.00
We have to find the probability of bags chosen at random contains more than 5 kg of flour.
The probability of an event A is given by,

P (A) = Number of favourable outcomes T o t a l number of outcomes

From the data, the number of bags which contain more than 5 kg is 5.05, 5.08, 5.03, 5.06, 5.08, 5.04, 5.07.
So, the number of bags that, contain more than 5 kg = 7
Total number of bags = 11
So, the probability of chosen at random contains more than 5 kg of flour is given by,