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Statistical Distributions

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Question 81

In a game people throw a ball into a bucket. For each person, the random variable X X\,X represents the number of times the ball lands in the bucket in the first 5 throws. Helen models X X\,X as B(5,0.3)B(5, 0.3)B(5,0.3)

a.

State an assumption Helen makes to use her model.

[2]
b.

Using Helen's model, verify that P(X=2)=0.3087P(X = 2) = 0.3087P(X=2)=0.3087

[1]
c.

For each person the random variable Y Y\,Y represents the throw on which the first ball lands in the bucket. Using Helen's model, verify that P(Y=5)=0.07203P(Y = 5) = 0.07203P(Y=5)=0.07203

[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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