A student placement center has requests from five students for interviews regarding employment with a particular consulting firm. Three of these students are math majors, and the other two students are statistics majors. Unfortunately, the interviewer has time to talk with only two of the students; these two will be randomly selected from among the five.
(a) What is the probability that both selected students are statistics majors?
(b) What is the probability that the selected students have different majors?
In addition to weight and length, head circumference is another measure of health in newborn babies. The National Center for Health Statistics reports the following summary values for head circumference (in cm) at birth for boys (approximate values read from graphs on the Center for Disease Control website):
Percentile | 5 | 10 | 25 | 50 | 75 | 90 | 95
Head Circumference (cm) | 32.2 | 33.2 | 34.5 | 35.8 | 37.0 | 38.2 | 38.8
(a) What is the median?
(b) What is the interquartile range?
(c) What percentage of new born boys have head circumference ranging from 33.2 cm to 37 cm?