The exhaust system of an automobile is first given an emission check and then given a vibration check. The result of an emission
s check can be satisfactory (S), marginal (M), or unsatisfactory (U), and the result of a vibration check can be high vibration (H) or low vibration (L) or no vibration (N). What is the sample space for this situation?
Sample Space = { }
Find the event that the emissions check is satisfactory. Event = { }
The sample space is known to be the set of all possible outcomes of an experiment we cannot predict its outcome while the event space showcases the subset of the sample space, this may be a collection of outcomes of a random experiment.
From the given information:
The sample space = {SH, SL, SN, MH, ML, MN,UH, UL, UN}
The event that the emissions check is satisfactory = {SH, SL, SN}
The terms in a geometric sequence are given by: A = ar^(n-1) where A is the nth term in the sequence. a = first term in the sequence (-2) r = common ratio (-5) n = number of the term (4)
A = (-2)(-5)^(4-1) A = (-2)(-5)^(3) A = (-2)(-125) A = 250
