a) Resistors made by Zelchotrix Electronics have resistances that vary according to a normal distribution with a mean of 1000 ohms and a standard deviation of 160 ohms. i. Gerald randomly selects a resistor from a pack of resistors supplied by Zelchotrix Electroncs. What is the probability that the resistor will have a resistance of between 920 and 1150 ohms? The resistance of twelve randomly chosen resistors is measured. What is the probability that between 3 and 11 (inclusive) of the resistors will have a resistance that is between 920 and 1150 ohms each? ii. iii. What is the probability that the combined resistance of 12 randomly selected resistors is between 11.5 kilo ohms and 11.8 kilo ohms?

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a) Resistors made by Zelchotrix Electronics have resistances that vary
according to a normal distribution with a mean of 1000 ohms and a
standard deviation of 160 ohms.
i.
Gerald randomly selects a resistor from a pack of resistors supplied by
Zelchotrix Electroncs. What is the probability that the resistor will have
a resistance of between 920 and 1150 ohms?
ii.
The resistance of twelve randomly chosen resistors is measured. What is
the probability that between 3 and 11 (inclusive) of the resistors will
have a resistance that is between 920 and 1150 ohms each?
What is the probability that the combined resistance of 12 randomly
selected resistors is between 11.5 kilo ohms and 11.8 kilo ohms?
iii.
Transcribed Image Text:a) Resistors made by Zelchotrix Electronics have resistances that vary according to a normal distribution with a mean of 1000 ohms and a standard deviation of 160 ohms. i. Gerald randomly selects a resistor from a pack of resistors supplied by Zelchotrix Electroncs. What is the probability that the resistor will have a resistance of between 920 and 1150 ohms? ii. The resistance of twelve randomly chosen resistors is measured. What is the probability that between 3 and 11 (inclusive) of the resistors will have a resistance that is between 920 and 1150 ohms each? What is the probability that the combined resistance of 12 randomly selected resistors is between 11.5 kilo ohms and 11.8 kilo ohms? iii.
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