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Statistical Distributions

Statistical Distributions

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Question 10

The random variable X X\,X has the following probability distribution.

xxx12345
P(X=x)P(X=x)P(X=x)kkkk2\displaystyle \frac{k}{2}2k​k3\displaystyle \frac{k}{3}3k​k4\displaystyle \frac{k}{4}4k​k5\displaystyle \frac{k}{5}5k​

where k k\,k is a constant.

a.

Find the value of kkk.

[3]
b.

The random variables X1 X_1\,X1​ and X2 X_2\,X2​ are independent and each have the same distribution as XXX. Find P(X1+X2=7)P(X_1 + X_2 = 7)P(X1​+X2​=7)

[4]
Markscheme

Statistical Distributions Questions

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

15 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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