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Please explain the process Resistors of a certain type have resistances that are normally distributed with...

Please explain the process

Resistors of a certain type have resistances that are normally distributed with mean 200 ohms. Twenty of these resistors are to be used in a circuit. The standard deviation is 10 ohms.  

a. Find the probability that a resistor chosen at random has a resistance of less than 205 ohms.

b. Find the probability that the average resistance of the 20 resistors is between 199 and 202 ohms.

c. For a sample of 20, find the average resistance at which the the top 10% of all resistors.

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Answer #1

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From Z-table, Lookup for Z-value corresponding to area 0.10 to the right of the normal curve.

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