In: Statistics and Probability
5. The Mental Development Index (MDI) of the Bayley scales of Infant development is a standardized measure used in studies with high risk infants. It has an approximately normal distribution with a mean of 100 and a standard deviation of 16.
a. What proportion of infants have an MDI of at least 120?
b. What proportion of infants have an MDI of less than 70?
c. What proportion of infants have an MDI between 84 and 116?
Now find the following percentiles of the MDI, if .it has an approximately normal distribution with a mean of 100 and a standard deviation of 16.
a. 50th
b. 75th
c. 90th
d. 95th
e. 99th
f. Find the interquartile range of the MDI