Answer:
Probability = 0.15
Step-by-step explanation:
To find the probability that on a given day there, Shelia will find defects, we can use this way:
[tex]\begin{array}{c|c}X&P(X)\\\cline{1-2}\\0&0.85\\1&0.10\\2&0.04\\3&0.01\end{array}[/tex]
It will be easier to find its opposite, which is Shelia will not find any defect - P(X=0), since there is only 1 probability for non-defect. Then we subtract the P(X=0) with 1.
Probability finding defects
= 1 - P(0)
= 1 - 0.85
= 0.15
Notes:
The other way to find the probability of finding defects is to total up all the probabilities with defect, which is P(X=1) + P(X=2) + P(X=3). However, for questions with X that is quite big, it will be too tedious to do the addition.