Quelpr
4 marksContinuous Random Variables

CAPE Applied Mathematics Unit 2 · 2013 · Paper 2 · Question 4(c)(ii)

Continuous random variable X has a uniform distribution f(x) = k for 0 \le x \le 3, and 0 otherwise.

Determine the value of t such that P(X > t) = \frac{1}{4}.

The mark scheme is shown once you've answered.

Practise this question

Other parts of this question

  1. 4(a)(i)Determine the probability of exactly 2 accidents in any one-week period.[3 marks]
  2. 4(a)(ii)Given that on average 4 accidents occur in a 4-week period, show that the probability of at least 4 accidents in a 4-week period is 0.567 to 3 decimal places.[4 marks]
  3. 4(a)(iii)A year consists of approximately thirteen 4-week periods. Determine the probability that in a particular year there are exactly eleven periods during which AT…[5 marks]
  4. 4(b)With the use of another justified probability distribution function as an approximation, determine the probability that a box contains AT MOST two defective…[6 marks]
  5. 4(c)(i)Determine the value of the constant k.[3 marks]

More practice: the rest of this paper · more Continuous Random Variables questions · all CAPE Applied Mathematics Unit 2 past papers