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...


A model for normal human body temperature, X, when measured orally<br>in °F, is that it is normally distributed, X ~ N (98.2,0.5184).<br>(i) According to the model, what proportion of people have a normal<br>body temperature of 99 °F or more?<br>(ii) Find the normal body temperature such that, according to the<br>model, only 10% of people have a lower normal body temperature.<br>(iii) Let W denote normal human body temperature, when measured<br>orally in °C. Given that W = (X - 32) and X ~ N(98.2,0.5184),<br>what is the distribution of W?<br>(iv) According to the model that you just derived for W, what<br>proportion of people have a normal body temperature of between<br>36 °C and 36.8 °C?<br>

Extracted text: 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?

Jun 11, 2022
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