Among the cast aluminum parts manufactured on a certain

Chapter 2, Problem 9E

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QUESTION:

Among the cast aluminum parts manufactured on a certain day, 80% were flawless, 15% had only minor flaws, and 5% had major flaws. Find the probability that a randomly chosen part

a. has a flaw (major or minor).

b. has no major flaw.

Questions & Answers

QUESTION:

Among the cast aluminum parts manufactured on a certain day, 80% were flawless, 15% had only minor flaws, and 5% had major flaws. Find the probability that a randomly chosen part

a. has a flaw (major or minor).

b. has no major flaw.

ANSWER:

Answer:

Step 1 of 2:

(a)

In this question, we are asked to find the probability that a randomly chosen part has a flaw( major or minor) among the aluminium parts manufactured on a certain day.

Flawless aluminium part =

Aluminium part which had major flaw =

Aluminium part which had minor flaw =

Since given data is in percentage.

We can say out of 100, 80 aluminium part is  flawless.

Hence our probability would be

 =

 =

 =   =

 =

 =

Hence the probability that a randomly chosen part has a flaw is 0.20.


Answer:

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