A Lot of 10 Components Contains 3 That Are Defective $P ( B \mid A )$

question 57

Multiple Choice

A lot of 10 components contains 3 that are defective. Two components are drawn at random and tested. Let A be the event that that the first component drawn is defective, and B be the event that
The second component drawn is defective. a. Find P(A) .
b. Find $P ( B \mid A )$
c. Find P(A and B) .
d. Are A and B independent?

• A) a. 0.3333
• b. 0.1250
• c. 0.1000
• d. Yes
• B) a. 0.3000
• b. 0.2222
• c. 0.0667
• d. Yes
• C) a. 0.3000
• b. 0.3333
• c. 0.1000
• d. No
• D) a. 0.3000
• b. 0.2222
• c. 0.0667
• d. No

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Definitions:

Transference

The process by which emotions, desires, or expectations are redirected and applied to a new object or person, often unconsciously and stemming from previous relationships.

Primacy Effect

The tendency to remember and give more weight to information that is encountered first in a series.

Recency Effect

The phenomenon where more recently presented information is better remembered and has a stronger influence on judgment than older information.

Transference

In psychotherapy, the phenomenon where patients project feelings or attitudes from past relationships onto the therapist.