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11.8 Finding Areas

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Question 6

The waiting time in minutes, XXX, of a customer at a cafe is modelled by the probability density function

f(x)={kx(36−x2)0≤x≤60otherwise f(x) = \begin{cases} kx(36 - x^2) & 0 \le x \le 6 \\ 0 & \text{otherwise} \end{cases} f(x)={kx(36−x2)0​0≤x≤6otherwise​
a.

Show that k=1324k = \frac{1}{324}k=3241​.

[3]
b.

Using integration, find

the mean waiting time of a customer,

[3]
c.

the probability that a customer will wait for more than 4 minutes.

[2]
d.

Three independent customers visit the cafe.

Find the probability that at least 2 of the customers wait for more than 4 minutes.

[3]

11.8 Finding Areas Questions

  1. A Level
  2. /Maths
  3. /11.8 Finding Areas

Practise Edexcel A Level Maths 11.8 Finding Areas with exam-style questions for A Level Maths. 28 questions, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.

Question bank