The design of an electronic circuit for a toaster calls for a 100-ohm resistor and a 250-ohm
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The design of an electronic circuit for a toaster calls for a 100-ohm resistor and a 250-ohm resistor connected in series so that their resistances add. The resistance X of a 100-ohm resistor in a randomly selected toaster follows a Normal distribution with mean 100 ohms and standard deviation 2.5 ohms. The resistance Y of a 250- ohm resistor in a randomly selected toaster follows a Normal distribution with mean 250 ohms and standard deviation 2.8 ohms. The resistances X and Y are independent.
a. Describe the distribution of the total resistance of the two components in series for a randomly selected toaster.
b. Find the probability that the total resistance for a randomly selected toaster lies between 345 and 355 ohms.
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