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Statistical Distributions

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Question 18

A biased number generator can only generate one of the numbers 1, 2, 3 or 4. The random variable X X\,X represents the number generated in one use and P(X=r)=P(X=r+1)P(X = r) = P(X = r + 1)P(X=r)=P(X=r+1) for r=1,3r = 1, 3r=1,3

Given that P(X=1)=0.24P(X = 1) = 0.24P(X=1)=0.24

a.

find the complete probability distribution for XXX.

[2]
b.

Leila uses the number generator 25 times. Find the probability that the generator produces the number 4 more than 8 times.

[3]
c.

The random variable Y=9−2XY = 9 - 2XY=9−2X. Find P(Y+X≥7)P(Y + X \geq 7)P(Y+X≥7)

[3]
Markscheme

Statistical Distributions Questions

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

57 exam-style questions on Edexcel AS 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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