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2 Statistics

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Question 136

The discrete random variable X X\,X has probability function

P(X=x)=k(x+1)P(X=x)=k(x+1)P(X=x)=k(x+1) for x=0,1,2,3,4x=0,1,2,3,4x=0,1,2,3,4,

where k k\,k is a constant.

a.

Find the exact value of kkk.

[2]
b.

Find P(X is even)P(X\text{ is even})P(X is even).

[2]
c.

Independent observations X1 X_1\,X1​ and X2 X_2\,X2​ have this distribution. Find P(X1=X2)P(X_1=X_2)P(X1​=X2​).

[2]
Markscheme

2 Statistics Questions

  1. A Level
  2. /Maths
  3. /2 Statistics

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