The time, TTT minutes, required for a specific bacterial culture to double in population is modelled by a normal distribution such that T∼N(μ,σ2)T \sim \text{N}(\mu, \sigma^2)T∼N(μ,σ2).
Given that P(T<145)=0.74P(T < 145) = 0.74P(T<145)=0.74, determine:
P(T>145)P(T > 145)P(T>145)
P(μ<T<145)P(\mu < T < 145)P(μ<T<145)
P(T>μ∣T<145)P(T > \mu \mid T < 145)P(T>μ∣T<145)
228 exam-style questions on CCEA A Level Maths 4.5.1 Statistical distributions (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.