Discrete random variables — Question 174
Original QCE Vault practice · 4 marks
Q174 · Practice questionTechnology-activeComplex familiar4 marks
QUESTION 174 (4 marks)
Let X∼Bin(n,0.4). Given that Var(X)=4.8, determine n and then calculate P(X≥10). WORKED SOLUTION
Practice marking scheme
4 marksANSWERn=20 and P(X≥10)≈0.2447. Worked solution
Var(X)=np(1−p)=0.24n=4.8, so n=20. Then evaluate P(X≥10) for X∼Bin(20,0.4). Uses the binomial variance formula.
[1 mark]Forms the correct upper-tail binomial probability.
[1 mark]Evaluates the probability.
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