For a certain river, suppose the drought lengthYis the number of consecutive time intervals in which the water supply remains below a critical valuey₀(a deficit), preceded by and followed by periods in which the supply exceeds this critical value (a surplus). An article proposes a geometric distribution withp = 0.381for this random variable. (Round your answers to three decimal places.)

(a) What is the probability that a drought lasts exactly 3 intervals? At most 3 intervals?

exactly 3 intervals	________
at most 3 intervals	_________

(b) What is the probability that the length of a drought exceeds its mean value by at least one standard deviation?