During the dry month of August, one U.S. city has measurable rain on average only1dayper month.

Assume all months have 30 days.

*(Round your answers to 1 decimal place, e.g. 1.2.)

**(Round the intermediate values to 4 decimal places. Round your answer to 4 decimal placese.g. 0.2531.)

(a)If the arrival of rainy days is Poisson distributed in this city during the month of August, what is the average number of days that will pass between measurable rain?

enter the average number of days

*

(b)What is the standard deviation?

enter the standard deviation

*

(c)What is the probability during this month that there will be a period of less than3daysbetween rain?

enter the probability rounded to 4 decimal places

**