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Probability, 2ADV S1 2012 MET1 4

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

  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.

     

    What is the probability that Daniel receives a total of four calls over these two days?   (3 marks)

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♦ Mean mark 36%.

Probability, 2ADV S1 2008 MET1 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 by

  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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ii.