(Solved): The Mental Development Index (MDI) of the Bayley Scales of Infant Development ...

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The Mental Development Index (MDI) of the Bayley Scales of Infant Development is a standardized measure used in observing infants over time. It is approximately normal with a mean of 100 and a standard deviation of 16 . Complete parts a through $\mathrm{c}$. a. What proportion of children has an MDI of (i) at least 111 ? (ii) at least 86 ? (i) The proportion of children having an MDI of at least 111 is (Round to four decimal places as needed.) (ii) The proportion of children having an MDI of at least 86 is (Round to four decimal places as needed.) b. Find the MDI score that is the 94th percentile. The 94th percentile MDI score is (Round to two decimal places as needed.) c. Find the MDI score such that only $6\%$ of the population has an index below it. $6\%$ of the population have an MDI score below (Round to two decimal places as needed.)