Assume that the readings on the thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A thermometer is randomly selected and tested. In each case, draw a sketch, and find the temperature reading corresponding to the given information.
Assume that z scores are normally distributed with a mean of 0 and a standard deviation of 1.
a. If P(0 < z < a) = 0.3212, find a.
b. If P(2b < z < b) = 0.3182, find b.
c. If P(z > c) = 0.2358, find c.
d. If P(z > d) = 0.7517, find d.
e. If P(z < e) = 0.4090, find e.