The time between consecutive eruptions of Mont Etna in Sicily is exponentially distributed denoted by random variable X, with the mean of [X] = 1/ years. The exponential pdf fX(x) = e−x for x ≥ 0, and zero elsewhere. Find the probability of the next eruption occurs before next 2 years, P(x < 2) =?

Find the slope of the line below . enter your answer as a fraction or decimal. use a slash mark ( / ) as the fraction bar if necessary

Aaron invested a total of $4,100, some in an account earning 8% simple interest, and the rest in an account earning 5% simple interest. how much did he invest in each account if after one year he earned $211 in interest? select one: a. $200 at 8%, $3,900 at 5% b. $3,200 at 8%, $900 at 5% c. $900 at 8%, $3,200 at 5% d. $3,900 at 8%, $200 at 5%

Perry observes the opposite parallel walls of a room in how many lines do the plains containing the walls intersect