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Statistical Distributions

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Question 75

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

P(X=x)=(3x−1)57x=1,2,3,4,5,6 P(X=x) = \frac{(3x-1)}{57} \quad x = 1, 2, 3, 4, 5, 6 P(X=x)=57(3x−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]
d.

Hence find P(2<X≤5)P(2 < X \leq 5)P(2<X≤5)

[2]
Markscheme

Statistical Distributions Questions

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

215 exam-style questions on Edexcel A Level Maths Statistical Distributions, covering 6.1 Probability Distributions, 6.2 The Binomial Distribution, and 6.3 Cumulative Probabilities. Each one has a worked solution and a mark scheme showing where the marks go.

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