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2.4.6 Probabilities using the normal distribution (A-level only)

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Question 67

The battery life durations of a specific model of commercial drone are known to follow a normal distribution with a mean of 48.5 minutes48.5\text{ minutes}48.5 minutes and a standard deviation of 3.2 minutes3.2\text{ minutes}3.2 minutes.

A drone of this model is selected at random for testing.

a.

Find the probability that the battery life of this drone is less than 45.0 minutes45.0\text{ minutes}45.0 minutes.

[2]
b.

The manufacturer classifies the top 12%12\%12% of these drones, in terms of battery life, as "High-Performance".

Estimate, to 2 decimal places, the minimum battery life a drone must have to be classified as "High-Performance".

[3]

2.4.6 Probabilities using the normal distribution (A-level only) Questions

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