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).
Find P(T<110)P(T < 110)P(T<110).
In a batch of 600 treatment sessions, determine the expected number of sessions where the recovery time is less than 110 ms.
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.
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.