The total duration of oxygen supply, SSS minutes, for a specific model of deep-sea diving tank is modelled by a normal distribution with a mean of 210 minutes and a standard deviation of 25 minutes.
Determine the probability that a randomly selected tank will last for more than 260 minutes.
Find the value of kkk such that P(S<k)=0.12P(S < k) = 0.12P(S<k)=0.12.
A diver has already been submerged for 260 minutes using one of these tanks. To safely reach the surface, they require a further 15 minutes of oxygen.
Calculate the probability that the tank will not run out of oxygen before the diver reaches the surface.
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.