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

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Question 42

The operational flight time, TTT minutes, of a specific survey drone is modeled by a normal distribution such that T∼N(μ,σ2)T \sim \text{N}(\mu, \sigma^2)T∼N(μ,σ2).

It is given that the probability of a flight duration being less than 28.4 minutes is 0.92.

Determine:

a.

P(T>28.4)P(T > 28.4)P(T>28.4)

[2]
b.

P(μ<T<28.4)P(\mu < T < 28.4)P(μ<T<28.4)

[2]
c.

P(T>μ∣T<28.4)P(T > \mu \mid T < 28.4)P(T>μ∣T<28.4)

[3]

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

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