Breakdown per week (X) 0 1 2 3
Probability 0.15 0.20 0.35 0.30Find the probability that the number of breakdowns for this machine during a given week is:
P(X=2) = 0.35
between 0 to 2 where 0 and 2 are included
P(0X 2) = P(X=0) + P(X=1) + P(X=2)
= 0.15+0.20+0.35= 0.70
P(X>1) = P(x=2) + P(X=3) = 0.35 +0.30 = 0.65
at most 1 = P(X≤1) = P(X=0) + P(X=1) = 0.35