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Probability, MET2 2018 VCAA 12 MC

The discrete random variable has the following probability distribution.
 

Let be the mean of .

  is

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Probability, MET1 2012 VCAA 4

On any given day, the number of telephone calls that Daniel receives is a random variable with probability distribution given by

vcaa-2012-meth-4

  1. Find the mean of .   (2 marks)

  2. What is the probability that Daniel receives only one telephone call on each of three consecutive days?   (1 mark)

  3. Daniel receives telephone calls on both Monday and Tuesday.
  4. What is the probability that Daniel receives a total of four calls over these two days?   (3 marks)

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a.   
   
   

 

b.  

MARKER’S COMMENT: Many students understood that the calculation of 0.2³ was required but were not able evaluate correctly.

 

c.  

♦ Mean mark 36%.

Probability, MET1 2013 VCAA 7

The probability distribution of a discrete random variable, , is given by the table below

vcaa-2013-meth-7

  1. Show that    or  .   (3 marks)

  2. Let  .

    1. Calculate .   (2 marks)

    2. Find  .   (1 mark)

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a.   

 

b.i.  
   
   
   

 

♦♦ Part (b)(ii) mean mark 32%.

  ii.