Resistors labeled 100 Ω have true resistances that are between 80 Ω and 120 Ω. Let X be the mass of a randomly chosen resistor. The probability density function a. What proportion of resistors have resistances less than 90 Ω? b. Find the mean resistance.

Question

Physics

Belen Mcdonald

17 March, 20:56

Resistors labeled 100 Ω have true resistances that are between 80 Ω and 120 Ω. Let X be the mass of a randomly chosen resistor. The probability density function a. What proportion of resistors have resistances less than 90 Ω? b. Find the mean resistance.

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Answers (1)

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Seth Trujillo · Answer 1

See explanation for step by step explanations.

Explanation:

Let X be the mass of a randomly selected resistor

The probability density function is given as

, 80
=0, otherwise

a) By using the given pdf we have to find the probability of the resistors having resistance less than 90

=

=

=0.0625

the probability of the resistors having resistance less than 90 is 0.0625

Step 2 of 4<

/p>

b) we have to find the mean resistance

Mean=

=

=

=106.67

The mean resistance is 106.67