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2.4 Statistical Distributions

2.4 Statistical Distributions

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Question 17
74%

A random variable X X\,X has the probability function:

P(X=x)=(2x−1)36x=1,2,3,4,5,6 P(X=x) = \frac{(2x-1)}{36} \quad x = 1, 2, 3, 4, 5, 6 P(X=x)=36(2x−1)​x=1,2,3,4,5,6
a.

Construct a table giving the probability function of XXX.

[2]
b.

Find P(1.4<X<3.9)P(1.4 < X < 3.9)P(1.4<X<3.9)

[1]
c.

Construct a table for the cumulative distribution F(x)F(x)F(x)

[2]
Markscheme

2.4 Statistical Distributions Questions

  1. A Level
  2. /Maths
  3. /2.4 Statistical Distributions

390 exam-style questions on OCR A Level Maths 2.4 Statistical Distributions, covering 2.4.1 Discrete probability distributions, 2.4.2 Binomial distribution as a model, 2.4.3 Calculating binomial probabilities, 2.4.4 Mean and variance of the binomial (A-level only), 2.4.5 Normal distribution as a model (A-level only), 2.4.6 Probabilities using the normal distribution (A-level only), 2.4.7 Links to histograms, mean and standard deviation (A-level only), and 2.4.8 Selecting an appropriate distribution (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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