Probability, MET1 2008 VCAA 7

Jane drives to work each morning and passes through three intersections with traffic lights. The number of traffic lights that are red when Jane is driving to work is a random variable with probability distribution given b

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  1. What is the mode of ?   (1 mark)

  2. Jane drives to work on two consecutive days. What is the probability that the number of traffic lights that are red is the same on both days?   (2 marks)

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a.  
 

b.  

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

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  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

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  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.