Question

The average number of days of precipitation in the City of Houston for the month of April is 6.8 days

Calculations

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?

Analysis

Write a sentence for each of the probabilities explaining what those probabilities mean in context of days of precipitation in the city of Houston.

Would any of the situations be considered unusual? Why or Why Not?

Answer 1

2 ! Solution Here average (1) = 6.8 let & be the no- of pripitation in the city Xu Pisson distubation with d=6.8 The P.mt of PD is P(x)= a) p/exactly 10 days) = P17=10) = 0 (0:0) 0.06488 The probability of having exactly 10 days of in precipitation the month of april is 0.06488 b pfless than 3 days) =P(223) = P(0) + PID +P(2) TO 07 - 2 6.8 6.87 288 6.8) 2 686.97 = 0.00 mt0.007574 0.02575 = 0.03UU3 <0.05. less than The probability of having trouby zo days of month of apriel is 0.03443 pare upitation in the is less than 0.05 This is winsual because P/9<3 o p/more than is days) = P(x>15 = 1-P19315) = 1-0.49818 = 0.00182 20.05 the probability of having more than is days of precipitation the month of april is 0.00182. This is an estat an usual because the probability is less than 0.05