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Statistical Distributions

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Question 15

Ryan plays a game where he can score 2, 6, 10, 14 or 18 points.

The random variable XXX, representing the number of points scored, has the following probability distribution, where a a\,a and b b\,b are constants.

xxx26101418
P(X=x)P(X=x)P(X=x)aaa0.15bbb0.250.30

The probability of scoring more than 6 is four times the probability of scoring 6 or less.

Ryan plays the game twice and adds the scores together. Each game is independent of the previous game.

Calculate the probability that the total score is 20 points.

[6]
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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