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iv) According to the model that you just derived for W. what proportion of people have a normal body temperature of between 36 °C and 36.8 °C?

iv) According to the model that you just derived for W. what proportion of people have a normal body temperature of between 36 °C and 36.8 °C?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 22PFA
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In this part of the question, you should calculate the required probabilities using tables, show your working. (Can check your answers, if you wish.) A model for normal human body temperature, X, when measured orally in °F, is that it is normally distributed, X ~ N (98.2, 0.5184). (i) According to the model, what proportion of people have a normal body temperature of 99 °F or more? (ii) Find the normal body temperature such that, according to the model, only 10% of people have a lower normal body temperature. (iii) Let W denote normal human body temperature, when measured orally in °C. Given that W = ¿(X – 32) and X ~ N(98.2, 0.5184), what is the distribution of W? (iv) According to the model that you just derived for W, what proportion of people have a normal body temperature of between 36 °C and 36.8 °C? * Accessibility: Investigate D Focus 25 words 18: 18/01/20
Transcribed Image Text:In this part of the question, you should calculate the required probabilities using tables, show your working. (Can check your answers, if you wish.) A model for normal human body temperature, X, when measured orally in °F, is that it is normally distributed, X ~ N (98.2, 0.5184). (i) According to the model, what proportion of people have a normal body temperature of 99 °F or more? (ii) Find the normal body temperature such that, according to the model, only 10% of people have a lower normal body temperature. (iii) Let W denote normal human body temperature, when measured orally in °C. Given that W = ¿(X – 32) and X ~ N(98.2, 0.5184), what is the distribution of W? (iv) According to the model that you just derived for W, what proportion of people have a normal body temperature of between 36 °C and 36.8 °C? * Accessibility: Investigate D Focus 25 words 18: 18/01/20
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