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4.1.1 Probability (A-level only)

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Question 41

The duration, TTT hours, for which a specialized solar cell generates its maximum power output during a laboratory test cycle is modeled by the probability density function

f(t)={2t270≤t≤k127(9−t)k<t≤90otherwise f(t) = \begin{cases} \frac{2t}{27} & 0 \le t \le k \\ \frac{1}{27}(9-t) & k < t \le 9 \\ 0 & \text{otherwise} \end{cases} f(t)=⎩⎨⎧​272t​271​(9−t)0​0≤t≤kk<t≤9otherwise​
a.

Showing your working clearly, determine the value of the constant kkk.

[4]
b.

State the mode of TTT.

[1]
c.

Find P(T≤1.5∣T≤k)P\left( T \le 1.5 \mid T \le k \right)P(T≤1.5∣T≤k).

[4]
Markscheme

4.1.1 Probability (A-level only) Questions

  1. A Level
  2. /Maths
  3. /4.1.1 Probability (A-level only)

111 exam-style questions on WJEC A Level Maths 4.1.1 Probability (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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