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Pearson Edexcel IAL Mathematics AS S1.5.2 Probability function & cumulative distribution

Pearson Edexcel IAL Mathematics AS S1.5.2 Probability function & cumulative distribution
Pearson Edexcel IAL Mathematics syllabusMathematics YMA01First assessment 2019

Practise reading and forming p(x) and F(x), then using them to find probabilities, missing constants and threshold values.

How this is tested

  • use p(x)=P(X=x) to find missing probabilities or complete a distribution table

Question 4(b)

[Maximum number: 6]

A bag contains 50 counters, each with one of the numbers 4, 7 or 10 written on it in the ratio 2: 3: 5 respectively.

A random sample of 2 counters is taken from the bag. The numbers on the 2 counters are recorded as D1D_{1} and D2D_{2}

The random variable M represents the mean of D1D_{1} and D2D_{2}

Find the sampling distribution of M

A random sample of n sets of 2 counters is taken. The random variable T represents the number of these n sets of 2 counters that have a mean of 4

Given that each set of 2 counters is replaced after it is drawn,