The continuous random variable $$\(X\)$$ has probability density function f given by where $$\(k\)$$ is a constant. Find the median value of $$\(X\)$$. ........................................................................................................................................................ . ........................................................................................................................................................ . ........................................................................................................................................................ . ........................................................................................................................................................ . ........................................................................................................................................................ . ........................................................................................................................................................ . ........................................................................................................................................................ . ........................................................................................................................................................ . ........................................................................................................................................................ . ........................................................................................................................................................ . ........................................................................................................................................................ . ........................................................................................................................................................ . ........................................................................................................................................................ . ........................................................................................................................................................ . ........................................................................................................................................................ .

Further Mathematics
IGCSE&ALevel
CAIE
Exam No:9231_w24_qp_41 Year:2024 Question No:4(d)

Answer:



Knowledge points:

4.1.1 use a probability density function which may be defined piecewise
4.1.3 understand and use the relationship between the probability density function (PDF) and the cumulative distribution function (CDF), and use either to evaluate probabilities or percentiles

Solution:

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