Discrete random variables — Question 30
Original QCE Vault practice · 3 marks
Q30 · Practice questionTechnology-activeSimple familiar3 marks
QUESTION 30 (3 marks)
Let X∼Bin(5,0.3). Determine P(X=2) to four decimal places. WORKED SOLUTION
Practice marking scheme
3 marksWorked solution
P(X=2)=(25)(0.3)2(0.7)3=0.3087. Uses the binomial probability model with n=5, p=0.3. [1 mark]Forms (25)(0.3)2(0.7)3. [1 mark]Determines 0.3087. [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 - Q40 · Original practice · 4 marks
A game pays $0, $50 or $100 with probabilities 0.5, 0.3 and 0.2 respectively. Determine the fair entry price and the variance of the payout. Discrete random variables