Question

Assume the readings on thermometers are normally distributed with a mean of 0degrees°c and a standard deviation of 1.00degrees°c. find the probability that a randomly selected thermometer reads greater than negative 0.16 and draw a sketch of the region.

Answer 1

The readings on thermometers are normally distributed with a mean of 0°c and a standard deviation of 1.00°c

The distribution of readings on thermometer is standard normal.

The probability that selected thermometer reads greater than -0.16

P(z > -0.16) = 1- P(z < -0.16)

Using z score table to find probability below -0.16

P(z < -0.16) = 0.4364

P(z > -0.16) = 1- 0.4364

P(z > -0.16) = 0.5636

The probability that a randomly selected thermometer reads greater than negative 0.16 is 0.5636