Supercooling temperature of frogs. Many species of terrestrial tree frogs that hibernate at or near the ground surface can survive prolonged exposure to low winter temperatures. In freezing conditions, the frog’s body temperature, called its super cooling temperature, remains relatively higher because of an accumulation of glycerol in its body fluids. A study in Science revealed that the super cooling temperature of terrestrial frogs frozen at -6°C has a relative frequency distribution with a mean of -2°C and a standard deviation of .3°C. Consider the mean super cooling temperature of a random sample of n = 42 terrestrial frogs frozen at -6°C.
a. Find the probability that exceeds -2.05°C.
b. Find the probability that falls between -2.20°C and -2.10°C.