The lengths of newborn baby girls are normally distributed with a mean of 49.9 cm and a standard deviation of 1.86 cm.
a. If a baby girl is born, determine the probability that her birth length will be:
(i) Less than 51 cm
P(X < 51)=
(ii) Greater than 53.4 cm
P(X > 53.4)=
(iii) Between 45.9 and 49.6 cm
P(45.9 < X < 49.6)=
b. Determine the lengths of newborn baby girls that correspond to the:
(i) 7th percentile
x= ____ cm
Round to 2 decimal places
(ii) 92nd percentile
x= ____ cm
Round to 2 decimal places
(iii) Middle 60%
____ cm < x < ____ cm
Round to 2 decimal places