Solution Found!
In a lot of 10 microcircuits, 3 are defective. Four
Chapter 4, Problem 11E(choose chapter or problem)
In a lot of 10 microcircuits, 3 are defective. Four microcircuits are chosen at random to be tested. Let X denote the number of tested circuits that are defective.
a. Find P (X = 2).
b. Find \(\mu_{x}\) .
c. Find \(\sigma_{x}\) .
Equation transcription:
Text transcription:
\mu_{x}
\sigma_{x}
Questions & Answers
QUESTION:
In a lot of 10 microcircuits, 3 are defective. Four microcircuits are chosen at random to be tested. Let X denote the number of tested circuits that are defective.
a. Find P (X = 2).
b. Find \(\mu_{x}\) .
c. Find \(\sigma_{x}\) .
Equation transcription:
Text transcription:
\mu_{x}
\sigma_{x}
ANSWER:
Answer:
Step 1 of 4:
Given, we have a lot of 10 microcircuits, in that 3 are defectives and 4 microcircuits are chosen at random to be tested.
Let X = number of tested circuits that are defectives.
Let X follows Hypergeometric distribution with probability mass function is
P(x) =
X~H(10, 3, 4).
From the given problem, N = 10, K = 3 and n = 4