Discrete random variables — Question 80
Original QCE Vault practice · 2 marks
Q80 · Practice questionTechnology-activeSimple familiar2 marks
QUESTION 80 (2 marks)
Let X∼Bin(10,0.20). Determine P(X≤1) to four decimal places. WORKED SOLUTION
Practice marking scheme
2 marksANSWERP(X≤1)≈0.3758. Worked solution
P(X≤1)=0.810+10(0.2)(0.8)9≈0.3758. Forms P(X=0)+P(X=1). [1 mark]Obtains approximately 0.3758. [1 mark]Practice question aligned to the current QCAA syllabus; review the worked solution and marking criteria.
View the QCAA syllabusHow many marks did you earn?Compare your working with the guide above.
Related 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