An article discussing recidivism of juvenile prisoners between 14 and 17 years olld, indicating that 82% of those released were rearrested within 3 years. Solve the following problem for six newly released juvenile prisoners between 14 and 17.
a. Determine the probability that the number rearrested within 3 years will be exactly four; at least four; at most five; between two and five; inclusive.
I know how to figure out this problem, but I have a question. When I am trying to figure the probability of 0 being rearrested I use the formula
P(X=0) (6 0) 6!/0!(6-0)! (.82)^0(.18)^6
which I figure to be 1(.82)(.18)^6 my problem is, on my calculator it says 2.789002368E-5 what does this number mean? I get a similar answer with an E when figuring probability for 1.