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3.2 Finding Probabilities for Normal Distributions

3.2 Finding Probabilities for Normal Distributions

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Question 51

The recovery time of biological tissue following a specific laser treatment, T T\,T milliseconds, is modeled by a normal distribution such that T∼N(140,152)T \sim N(140, 15^2)T∼N(140,152).

a.

Find P(T<110)P(T < 110)P(T<110).

[2]
b.

In a batch of 600 treatment sessions, determine the expected number of sessions where the recovery time is less than 110 ms.

[2]
c.

Determine the value of ttt, to 2 decimal places, such that P(T<t∣T>110)=0.8250P(T < t \mid T > 110) = 0.8250P(T<t∣T>110)=0.8250.

[4]
Markscheme

3.2 Finding Probabilities for Normal Distributions Questions

  1. A Level
  2. /Maths
  3. /3.2 Finding Probabilities for Normal Distributions

80 exam-style questions on Edexcel A Level Maths 3.2 Finding Probabilities for Normal Distributions. Each one has a worked solution and a mark scheme showing where the marks go.

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