Assume that the readings on the thermometers are normally distributed with a mean of 0C and a standard deviation of 1.00C. A thermometer is randomly selected and tested. In each case, draw a sketch and find the probability of each reading. Round answers to four decimal places.

Hi, I need some help with my homework. Can I get some help on how this is solved? Can someone point out what I am going wrong and how would I solve question 2?
 

Transcribed Image Text:

1. Assume that the readings on the thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A thermometer is randomly selected and tested. In each case, draw a sketch, and find the probability of each reading. (The given values are in Celsius degrees.) Round answers to four decimal places. a) Less than -2.75 P(Z <-2.75) =/- P(27-275) =1-0.0030 -(0.9970 b) Greater than 1.22 A c) Between 0.60 and 1.15. P(0.60<2<1.15) (2*1.15) - P(Z <0.60) P(0.60 <2<1-15) 2-0.7257-0.8749 167492 =0.8749-07257 = -0.1492) q= P(27122) = 1- P(21.22) =1-08888 = 0.1112 7000 TWD 0.60 1.15 2. Assume that z scores are normally distributed with a mean of 0 and a standard deviation of 1. In each case, draw a sketch. Round answers to two decimal places. a) If P(Z <a) = 0.9026, find a. b) If P(Z > b) = 0.4656, find b. c) P(-d<z <d))=0.8740, find d. 1.22 b= 1. Assume that the readings on the thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A thermometer is randomly selected and tested. In each case, draw a sketch, and find the probability of each reading. (The given values are in Celsius degrees.) Round answers to four decimal places. a) Less than -2.75 P(Z <-2.75) =/- P(27-275) =1-0.0030 -(0.9970 b) Greater than 1.22 A c) Between 0.60 and 1.15. P(0.60<2<1.15) (2*1.15) - P(Z <0.60) P(0.60 <2<1-15) 2-0.7257-0.8749 167492 =0.8749-07257 = -0.1492) q= P(27122) = 1- P(21.22) =1-08888 = 0.1112 7000 TWD 0.60 1.15 2. Assume that z scores are normally distributed with a mean of 0 and a standard deviation of 1. In each case, draw a sketch. Round answers to two decimal places. a) If P(Z <a) = 0.9026, find a. b) If P(Z > b) = 0.4656, find b. c) P(-d<z <d))=0.8740, find d. 1.22 b=

Answer rating: 100% (QA)

Solution L... View the full answer