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, 62) . 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) P(X > 103) =(f) P(X < 98.2) =(g) P(100 < X < 124)=(h) The middle 80% of all heights of 5 year old children fall between and . (Use 2 decimal places.)