When investigators find a footprint at a crime scene they use
some information about foot length in order to determine the
criminal’s gender. If they find a very long footprint then they may
conclude that the criminal is a man. But, without other evidence,
how sure can the investigator be? Suppose that the distribution of
men’s foot lengths (in centimeters) is approximately N (25, 4) and
the distribution of women’s foot lengths is approximately N (19,
3). Please answer the...