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Assume that the readings on thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A thermometer is randomly selected...

a) Calculate the probability that the selected thermometer reads above 1.00°C.

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Final answer:

To calculate the probability that the selected thermometer reads above 1.00°C, we need to find the area under the normal distribution curve to the right of 1.00°C. The probability is 0.1587 or 15.87%.

Step-by-step explanation:

To calculate the probability that the selected thermometer reads above 1.00°C, we need to find the area under the normal distribution curve to the right of 1.00°C. We can use the standard normal distribution table or a calculator to find the z-score for 1.00°C, which represents how many standard deviations above or below the mean it is. Once we have the z-score, we can use the standard normal distribution table to find the probability associated with that z-score.

Given that the readings on thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C, we can find the z-score:

z = (1.00 - 0) / 1.00 = 1.00

Using the standard normal distribution table, we can find the probability associated with a z-score of 1.00:

Probability = 1 - Area to the left of z-score = 1 - 0.8413 = 0.1587

Therefore, the probability that the selected thermometer reads above 1.00°C is 0.1587 or 15.87%.

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