Question

Assume the readings on thermometers are normally distributed with a mean of 0degreesC and a standard deviation of 1.00degreesC. Find the probability that a randomly selected thermometer reads between negative 0.12 and 1.02

Answer 1

0.2983

Explanation:

Let X be the reading on thermometer. Given that X is N(0,1)

We are to find the probability that a randomly selected thermometer reads between negative 0.12 and 1.02

Reqd probability =
`P(0.12<x<1.12)`.

Since this x is already normal std variable x=z

i.e. reqd prob =
`P(0.12<z<1.02) =0.3461 -0.0478\\=0.2983`

Hence answer is 0.2983