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2.4.12 Calculate probabilities from a Normal distribution (A-level only)

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Question 59

The masses of domestic cats of a certain breed are known to follow a normal distribution with a mean of 4.25 kg4.25\text{ kg}4.25 kg and a standard deviation of 0.60 kg0.60\text{ kg}0.60 kg.

A cat of this breed is chosen at random.

a.

Find the probability that the mass of this cat is more than 5.00 kg5.00\text{ kg}5.00 kg.

[3]
b.

A veterinary clinic classifies the heaviest 15%15\%15% of this breed as "large".

Estimate, to 2 decimal places, the minimum mass a cat must have to be classified as "large".

[4]

2.4.12 Calculate probabilities from a Normal distribution (A-level only) Questions

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