Supercooling temperature of frogs. Many species of terrestrial tree frogs can survive prolonged exposure to low winter temperatures during hibernation. In freezing conditions, the frog’s body temperature is called its supercooling temperature. A study in Science revealed that the supercooling 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 supercooling temperature x of a random sample of n = 42 terrestrial frogs frozen at -6°C.

a. Find the probability that x exceeds -2.05°C.

b. Find the probability that x falls between -2.20°C and

-2.10°C.