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Statistics for Engineers and Scientists | 4th Edition | ISBN: 9780073401331 | Authors: William Navidi
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Resistors are labeled 100?. In fact, the actual

Chapter 4, Problem 2E

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QUESTION:

Resistors are labeled 100\(\Omega\). In fact, the actual resistances are uniformly distributed on the interval

(95, 103).

a. Find the mean resistance.

b. Find the standard deviation of the resistances.

c. Find the probability that the resistance is between 98 and 102\(\Omega\).

d. Suppose that resistances of different resistors are independent. What is the probability that three out of six resistors have resistances greater than 100\(\Omega\)?

Equation transcription:

Text transcription:

\Omega

Questions & Answers

QUESTION:

Resistors are labeled 100\(\Omega\). In fact, the actual resistances are uniformly distributed on the interval

(95, 103).

a. Find the mean resistance.

b. Find the standard deviation of the resistances.

c. Find the probability that the resistance is between 98 and 102\(\Omega\).

d. Suppose that resistances of different resistors are independent. What is the probability that three out of six resistors have resistances greater than 100\(\Omega\)?

Equation transcription:

Text transcription:

\Omega

ANSWER:

Solution:

Step 1 of 3:

The resistance of resistors are uniformly distributed on the interval (95,103).

We have to find

  1. The mean resistance
  2. The standard deviation of resistance.
  3. Probability that resistance is between 98 and 102 .
  4. If the resistance of different resistors are independent. What is the probability that 3 out of six resistors have resistance greater than 100.

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