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Probability distribution function

  1. Mar 21, 2014 #1
    The number of hours, N, of daylight at a certain location can be expressed as N(d)=12+6sin(2πd/365) where d=day of the year starting with March 21.
    (a) What is the probability distribution function for hours of daylight if you assume the day of the year is a random variable?
    (b) What is the average number of hours of daylight at that location over the year?
    (c) If the energy production, E, of a certain solar thermal energy facility at that location is dependent upon the number of hours of daylight and is found to be E(N)=107N calories per day, f
    • what is the expected daily energy production over the year from that facility?
    • what is the standard deviation of the energy produced?
    • what is the variance of the energy production?
     
  2. jcsd
  3. Mar 21, 2014 #2

    Simon Bridge

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    Welcome to PF;
    Great question - how have you been attempting it?
     
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