Question

Average number of days of precipitation is 13.7 days.

1. What is the probability of having exactly 10 days of precipitation in the month of April?
2. What is the probability of having less than three days of precipitation in the month of April?
3. What is the probability of having more than 15 days of precipitation in the month of April?

Answer 1

Answer:-

Here we use poisson distribution because event are independent and which occurs at a constant rate within given interval of time .

Dote Page solution Let'x'be a handom variable that denotes the davom beu os precipitation is 13. 7 days totel no ob day in april B = 30 B.F x follow poidson desth with means d=13.7 P(x=10) (13.71% 21 (13.7J'O 101 0.07205 (using Calculatou). é 13.7 - therefore, poobability of having escactly to days Os precipitation in month of amlis 0.07205 - ch Probability of having less than 3 days of Precipitation in the month of April pl x<3) = Placo) + Place) +Pla=2) +(1.3.700 3713-7) U 26 O 00012 (wing calculator) 13.7 —137413-732 te ab

Probability of having more than 15 days of precipitation in the month of april. Plaxis 1 - P <15 -13.7 -1- ya x! 1 - Lė lett 13.7 17. +113.75 15 Σ e 13-7) 220 2 1 13.7 + 13.7 + + 01 21, 15! 1 - 0,6986.9 using pornon Calculato) >> 0.30131 C 0.3013 therefore, probability that having more them is days Oto precipitation withe monthota april is e. 30131