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2 Statistics

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Question 239

Events A A\,A and B B\,B are independent. It is given that P(A)=pP(A)=pP(A)=p, P(B)=p+0.20P(B)=p+0.20P(B)=p+0.20 and the probability that neither event occurs is 0.24.

a.

Show that p p\,p satisfies p2−1.8p+0.56=0p^2-1.8p+0.56=0p2−1.8p+0.56=0.

[2]
b.

Find ppp, explaining why one algebraic solution is rejected.

[2]
c.

Find the probability that both A A\,A and B B\,B occur.

[2]
Markscheme

2 Statistics Questions

  1. A Level
  2. /Maths
  3. /2 Statistics

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