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1. Assume that the weight loss for the first month of a diet program varies between 6 pounds and (I pobnt) 12 pounds, and is spread evenly over the range of possibilities, so that there is a uniform distribution Find the probability that the weight lost is less than 11 pounds. 6 7 6 3
2. The Precision Scientific Instrument Company manufactures thermometers that are supposed to give readings of 0PC at the freezing point of water. Tests on a large sample of these thermometers reveal that at the freezing point of water, some give readings below 0°C (denoted by negative numbers) and some give readings above 0°C (denoted by positive numbers). Assume that the mean reading is 0°C and the standard deviation of the readings is 1.00°C. Also assume that the frequency distribution of errors closely resembles the normal distribution. A thermometer is randomly selected and tested. Find the temperature reading corresponding to the given information. Find Qs, the third quartile. О 0.530 0.67 O-1.3° 0.82°
3. The Precision Scientific Instrument Company manufactures thermometers that are (I point) supposed to give readings of 0°C at the freezing point of water. Tests on a large sample of these thermometers reveal that at the freezing point of water, some give readings below 0°C (denoted by negative numbers) and some give readings above 0°C (denoted by positive numbers). Assume that the mean reading is 0°C and the standard deviation of the readings is 1.00°C. Also assume that the frequency distribution of errors closely resembles the normal distribution. A thermometer is randomly selected and tested. Find the temperature reading corresponding to the given information. Find P96, the 96th percentile. O 1.03° 0 1.82° 0-1.38 1.75° 4. If z is a standard normal variable, find the probability. ( point) The probability that z is less than 1.13 0.8708 0.8485 0.1292 0.8907
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