CAPE Applied Mathematics Unit 1 · 2016 · Paper 1 · Question Q45
The mass of a bag of potatoes is normally distributed with mean mass 50\text{ kg} and standard deviation 6\text{ kg}. Five bags of potatoes are chosen at random. Given \bar{X} \sim N\left(50, \frac{36}{5}\right), what is the probability (to 3 significant figures) that the mean mass of these bags is more than 45\text{ kg}?
- (A)0.0312
- (B)0.202
- (C)0.798
- (D)0.969
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