Discrete random variables — Question 121
Original QCE Vault practice · 1 mark
Q121 · Practice questionTechnology-freeSimple familiar1 mark
QUESTION 121
A discrete random variable has P(X=1)=k, P(X=2)=2k and P(X=3)=3k. Determine k. WORKED SOLUTION
Answer B
1 markWorked solution
Probabilities sum to 1, so k+2k+3k=6k=1, giving k=1/6. Selects the correct option.
[1 mark]Practice question aligned to the current QCAA syllabus; review the worked solution and marking criteria.
View the QCAA syllabusRelated questions
- Q5 · Original practice · 1 mark
A discrete random variable X has P(X=x)=k(x+1) for x=0,1,2. Determine k. Discrete random variables - Q15 · Original practice · 1 mark
For a discrete random variable, P(X=0)=0.2, P(X=1)=0.5 and P(X=2)=0.3. Determine E(X). Discrete random variables - Q25 · Original practice · 1 mark
Let X∼Bin(3,0.4). Determine P(X≥2∣X≥1), to three decimal places. Discrete random variables - Q30 · Original practice · 3 marks
Let X∼Bin(5,0.3). Determine P(X=2) to four decimal places. Discrete random variables