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24 February, 07:00

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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  1. 24 February, 08:26
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    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
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