Data from the article "The Osteological Paradox: Problems inferring Prehistoric Health from Skeletal Samples" (Current Anthropology (1992): XXXXXXXXXXsuggests that a reasonable model for the...

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.)