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Statistical Distributions

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Question 20

Priya plays a game where she can score 0, 7, 14, 21 or 28 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.

xxx07142128
P(X=x)P(X=x)P(X=x)aaa0.16bbb0.240.20

The probability of scoring more than 7 is twice the probability of scoring 7 or less.

Priya 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 28 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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