The Precision Instrument Company manufactures thermometers that are supposed to give readings from 0°C to the freezing point of water. Testing of a large sample of these instruments revealed that at the freezing point of water, some thermometers gave readings below 0° (denoted by negative numbers), and others gave readings above 0° (denoted by positive numbers). . Assume that the mean reading is 0°C and that the standard deviation of the readings is 1.00°C. Also assume that the readings are normally distributed. If a thermometer is chosen at random: a. Find the probability that, at the freezing point of water, the reading will be less than 1.58°. b. Find the probability of randomly selecting a thermometer with a reading (at the freezing point of water) above -1.23°. c. Find the probability that the chosen thermometer has readings (at the freezing point of water) between -2.00° and 1.50⁰
The Precision Instrument Company manufactures thermometers that are supposed to give readings from 0°C to the freezing point of water. Testing of a large sample of these instruments revealed that at the freezing point of water, some thermometers gave readings below 0° (denoted by negative numbers), and others gave readings above 0° (denoted by positive numbers). . Assume that the mean reading is 0°C and that the standard deviation of the readings is 1.00°C. Also assume that the readings are normally distributed. If a thermometer is chosen at random: a. Find the probability that, at the freezing point of water, the reading will be less than 1.58°. b. Find the probability of randomly selecting a thermometer with a reading (at the freezing point of water) above -1.23°. c. Find the probability that the chosen thermometer has readings (at the freezing point of water) between -2.00° and 1.50⁰
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Step 1: Define the given variable.
VIEWStep 2: Obtain the probability that the freezing point of water the reading will be less than 1.58°.
VIEWStep 3: Obtain the probability of randomly selecting a thermometer with a reading above –1.23°.
VIEWStep 4: Obtain the probability that the chosen thermometer has readings between –2.00° and 1.50°.
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