Math Solutions

[Solution Library] On any day of January and February (28 days) the probability that there will be snowfall in Ithaca is 0.4 independently of other days.

Question: On any day of January and February (28 days) the probability that there will be snowfall in Ithaca is 0.4 independently of other days.

  1. Suppose there are 4 Sundays and 4 Saturdays in January. If there are exactly 4 days in January with snowfall, what is the conditional probability that all of them are (i) Sundays, (ii) either Sunday or Saturday.
  2. Find the PMF of total number of days in January and February with snowfall.
  3. If you know that there are 40 days of snowfall altogether in January and February, then what is the conditional PMF of the number of days with snowfall in February?

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