Assume the readings on thermometers are normally distributed

Assume the readings on thermometers are normally distributed with a mean of 0 degree C and a standard deviation of 1.00 degree C. Find the probability that a randomly selected thermometer reads greater than -1.54 and draw a sketch of the region. Sketch the region. Choose the correct graph below. The probability is [ ].

Solution

x= reading for a randomly selected thermometer .......
mean = 0...s.d = 1
p( x > -1.54 ) = p ( z > (-1.54 -0) / 1 ) = p( z > -1.54) = 1 - p(z<= -1.54) = 1 -  0.06178018 = 0.9382198.....

(c) will be the correct graph!