9709/62

Mathematics 9709/62October/November 2012

Cambridge A-Level · Probability & Statistics 1 · worked solutions for every part, with the mark scheme

6
questions
50
marks
75
minutes

Topics Discrete Random Variables · Probability · The Normal Distribution · Representation of Data · Permutations and Combinations

Q1ProbabilityFree sample

Fabio drinks coffee each morning. He chooses Americano, Cappucino or Latte with probabilities 0.5, 0.3 and 0.2 respectively. If he chooses Americano he either drinks it immediately with probability 0.8, or leaves it to drink later. If he chooses Cappucino he either drinks it immediately with probability 0.6, or leaves it to drink later. If he chooses Latte he either drinks it immediately with probability 0.1, or leaves it to drink later.

(i)

Find the probability that Fabio chooses Americano and leaves it to drink later.

1M
(ii)

Fabio drinks his coffee immediately. Find the probability that he chose Latte.

4M

The rest of this paper

5 more questions
  • Q2The Normal Distribution · Discrete Random Variables7M
  • Q3Representation of Data8M
  • Q4The Normal Distribution · Discrete Random Variables9M
  • Q5Permutations and Combinations10M
  • Q6Probability · Discrete Random Variables11M
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