Two Percent of the Parts Produced by a Machine Are

question 42

Short Answer

Two percent of the parts produced by a machine are defective. Twenty parts are selected at random. Use the binomial probability tables to answer the following questions.
a.What is the probability that exactly 3 parts will be defective?
b.What is the probability that the number of defective parts will be more than 2 but fewer than 6?
c.What is the probability that fewer than 4 parts will be defective?
d.What is the expected number of defective parts?
e.What is the variance for the number of defective parts?

---

Definitions:

Preconscious

According to Freud, area of the psyche that contains material from the unconscious before it reaches the conscious mind.

Collective Unconscious

According to Carl Jung, the wisdom accumulated by society over hundreds of years of human existence and stored in the memories of individuals.

Conscious

The state of being awake and aware of one's surroundings and having a sense of self.

Repression

A defense mechanism whereby distressing thoughts, memories, or impulses are excluded from conscious awareness.