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

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 of X is given by f(x) =

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x − 80 800 80 < x < 120 0 otherwise

a. What proportion of resistors have resistances less than 90 Ω?

b. Find the mean resistance.

c. Find the standard deviation of the resistances.

d. Find the cumulative distribution function of the resistances.

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