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IB Math AAHL
/
Distributions & Random Variables
/
Problem Bank
IB Math AAHL
/
Distributions & Random Variables
/
Problem Bank

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[Maximum mark: 6]

The following table shows the distribution of a random variable ​X.

​x​

​1​

​2​

​3​

​4​

​P(X=x)​

​0.2​

​0.3​

​k+0.1​

​k−0.1​

  1. Show that ​k=41​.

    [1]
  2. Determine ​E(X).

    [2]
  3. Find ​P(X>2∣ X>1).

    [3]
[Maximum mark: 6]

The following table shows the distribution of a random variable ​X.

​x​

​1​

​2​

​3​

​4​

​P(X=x)​

​0.2​

​0.3​

​k+0.1​

​k−0.1​

  1. Show that ​k=41​.

    [1]
  2. Determine ​E(X).

    [2]
  3. Find ​P(X>2∣ X>1).

    [3]