The victim in a recent murder investigation owned a Labrador retriever; the Labrador breed has hair with mean cross-sectional diameter = 31 micrometers and standard deviation = 14 micrometers. A shirt found in the automobile trunk of the prime murder suspect has 36 strands of black dog hair clinging to it (in a laboratory human and dog hair are easily distinguished). The suspect claims that the dog hair on his shirt is from his dog, a Doberman; the Doberman breed has hair with mean cross-sectional diameter = 21 micrometers and standard deviation = 8 micrometers. If the 36 dog hairs on the suspect's shirt are from the murder victim's Labrador, what is the probability that their mean cross-sectional diameter x is between 25 and 27 micrometers?