Mathematics 9709/63 — October/November 2011

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

questions

marks

minutes

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

Q1The Normal DistributionDiscrete Random VariablesFree sample

The random variable $X$ is normally distributed and is such that the mean $\mu$ is three times the standard deviation $\sigma$ . It is given that $P(X < 25) = 0.648$ .

(i)

Find the values of $\mu$ and $\sigma$ .

(ii)

Find the probability that, from 6 random values of $X$ , exactly 4 are greater than 25.

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5 more questions

Q2Probability6M
Q3Discrete Random Variables · Probability9M
Q4Permutations and Combinations9M
Q5Representation of Data9M
Q6Probability · Discrete Random Variables · The Normal Distribution11M

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