Question

1. Logs purchased from a certain supplier can have three types of defect. The first two types are length defects and occur with the following probabilities:

• P (too much trim) = 0.02

• P (too little trim) = 0.01

  The third type of defect is excessive sweep and occurs with the following probability:

• P (excessive sweep) = 0.05

A. What is the probability of a log having a length defect?

B. What is the probability of a log not having a length defect?

C. What is the probability of a log having both a length and a sweep defect?

D.  What is the probability of a log having any defect?

E. What is the probability of a log being defect-free?

Answer 1

And,

E) Probability of log being defect free = 1 - probability of any defect

= 1 - 0.0785

= 0.9215

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