The random variable $$$X$$$ takes values in the range $$$1 \leqslant x \leqslant p$$$, where $$$p$$$ is a constant. The graph of the probability density function of $$$X$$$ is shown in the diagram. Show that $$$p=2$$$. ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................

Mathematics

IGCSE&ALevel

CAIE

Exam No：9709_s21_qp_62 Year：2021 Question No：3(a)

Answer:

$\frac{1}{2} p(p-1)=1$
$p=2$

Knowledge points:

6.3.1 understand the concept of a continuous random variable, and recall and use properties of a probability density function (For density functions defined over a single interval only; the domain may be infinite,.)

Answer:

Knowledge points:

Solution:

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