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4.2 Statistical distributions (A-level only)

4.2 Statistical distributions (A-level only)

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Question 84

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.

a.

Determine the probability that a randomly selected tank will last for more than 260 minutes.

[2]
b.

Find the value of kkk such that P(S<k)=0.12P(S < k) = 0.12P(S<k)=0.12.

[3]
c.

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.

[3]
Markscheme

4.2 Statistical distributions (A-level only) Questions

  1. A Level
  2. /Maths
  3. /4.2 Statistical distributions (A-level only)

328 exam-style questions on WJEC A Level Maths 4.2 Statistical distributions (A-level only), covering 4.2.1 Statistical distributions (A-level only), 4.2.2 Statistical distributions (A-level only), and 4.2.3 Statistical distributions (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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