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A calculator operates on two 1.5-V batteries (for a total of 3 V). The actualvoltage of
Chapter 3, Problem 3(choose chapter or problem)
A calculator operates on two 1.5-V batteries (for a total of 3 V). The actualvoltage of a battery is normally distributed with = 1.5 and 2 = 0.45. Thetolerances in the design of the calculator are such that it will not operate sat-isfactorily if the total voltage falls outside the range 2.703.30 V. What is theprobability that the calculator will function correctly?
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QUESTION:
A calculator operates on two 1.5-V batteries (for a total of 3 V). The actualvoltage of a battery is normally distributed with = 1.5 and 2 = 0.45. Thetolerances in the design of the calculator are such that it will not operate sat-isfactorily if the total voltage falls outside the range 2.703.30 V. What is theprobability that the calculator will function correctly?
ANSWER:Step 1 of 2
A calculator operates on two 1.5-volt batteries for a total of 3 volts. The actual voltage of a battery is normally distributed with mean 1.5 and variance 0.045. The tolerance in the design of the calculator is such that it will not operate satisfactorily if the total voltage fails outside the range 2.7 to 3.3 volts. We need to find the probability that the calculator will function correctly.
Mean = 1.5V Variance = 0.045
For 2.7 V
95.25 % calculator after - 1.67 and 4.75 % calculator before this.