CAIE A-Level Mathematics AS 5.4.1 Discrete Random Variables Questions

Practise constructing probability distributions and calculating expectations for discrete random variables.

Exam points

construct probability distribution tables for discrete random variables
use distribution probabilities to find unknown constants
calculate and interpret expected values from a distribution

[Maximum number: 3]

An ordinary fair die is thrown repeatedly until a 1 or a 6 is obtained.

On another occasion, this die is thrown 3 times. The random variable X is the number of times that a 1 or a 6 is obtained.

On another occasion, this die is thrown 3 times. The random variable X is the number of times that a 1 or a 6 is obtained.

Draw up the probability distribution table for X.

(X)	0	1	2	3
(P(X))	$(\frac{8}{27})$	$(\frac{12}{27})$	$(\frac{6}{27})$	$(\frac{1}{27})$

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CAIE A-Level Mathematics AS 5.4.1 Discrete Random Variables Questions question 1