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.
1 answer:
Answer:
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<x<120
=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
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