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2.4 N: Statistical distributions

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Question 127

In a game, each person throws 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 X∼B(5,0.3)X \sim B(5, 0.3)X∼B(5,0.3).

a.

State an assumption Helen makes in order to use her model.

[1]
b.

Using Helen's model, find P(X=2)P(X = 2)P(X=2).

[2]
c.

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

[2]
Markscheme

2.4 N: Statistical distributions Questions

  1. A Level
  2. /Maths
  3. /2.4 N: Statistical distributions

390 exam-style questions on AQA A Level Maths 2.4 N: Statistical distributions, covering 2.4.1 Discrete distributions and the binomial, 2.4.2 The Normal distribution (A-level only), and 2.4.3 Selecting an appropriate distribution (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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