During the dry month of August, one U.S. city has measurable rain on average only2daysper 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 rounded to 1 decimal place

*

(b)What is the standard deviation?

enter the standard deviation rounded to 1 decimal place

*

(c)What is the probability during this month that there will be a period of less than2daysbetween rain?

enter probability rounded to 4 decimal places

**