Question: Resistors labeled 100 have true resistances that are between 80 and 120 . Let X be the mass of a randomly chosen resistor. The

Resistors labeled 100Î© have true resistances that are between 80 Î© and 120 Î©. Let X be the mass of a randomly chosen resistor. The probability density function of X is given by

a. What proportion of resistors have resistances less than 90 Î©?
b. Find the mean resistance.
c. Find the standard deviation of the resistances.
d. Find the cumulative distribution function of the resistances.

x-80 (x) = 80 < x < 120 800 otherwise

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