Data from the article "The Osteological Paradox: Problems inferring Prehistoric Health from Skeletal Samples" (Current Anthropology (1992):343-370) suggests that a reasonable model for the distribution of heights of 5-year old children (in centimeters) is N(100, 6) . Let the letter X represent the variable "height of 5-year old", and use this information to answer the following. Use 4 decimal places unless otherwise indicated.(a) P(X > 89.2) = (b) P(X < 109.78) = (c) P(97 < X < 106) = (d) P(X < 85.6 or X > 111.4) = (e) The middle 80% of all heights of 5 year old children fall between  and  . (Use 2 decimal places.)

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Data from the article "The Osteological Paradox: Problems inferring Prehistoric Health from Skeletal Samples" (Current Anthropology (1992):343-370) suggests that a reasonable model for the distribution of heights of 5-year old children (in centimeters) is N(100, 6) . Let the letter X represent the variable "height of 5-year old", and use this information to answer the following. Use 4 decimal places unless otherwise indicated.

(a) P(X > 89.2) = 

(b) P(X < 109.78) = 

(c) P(97 < X < 106) = 

(d) P(X < 85.6 or X > 111.4) = 

(e) The middle 80% of all heights of 5 year old children fall between  and  . (Use 2 decimal places.)

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