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The Normal Distribution

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Question 153

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]
Markscheme

The Normal Distribution Questions

  1. A Level
  2. /Maths
  3. /The Normal Distribution

616 exam-style questions on Edexcel A Level Maths The Normal Distribution, covering 3.1 The Normal Distribution, 3.2 Finding Probabilities for Normal Distributions, 3.3 The Inverse Normal Distribution Function, 3.4 The Standard Normal Distribution, 3.5 Finding the mean and standard deviation, 3.6 Approximating a Binomial Distribution, and 3.7 Hypothesis Testing with the Normal Distribution. Each one has a worked solution and a mark scheme showing where the marks go.

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