Assume that the readings on the thermometers are normally distributed with a mean of 0 degrees and standard deviation of 1.00degreesc. assume 2.8% of the thermometers are rejected because they have readings that are too high and another 2.8% are rejected because they have readings that are too low. draw a sketch and find the two readings that are cutoff values separating the rejected thermometers from the others.

Using the normal distribution, it is found that the cutoff values are -1.91 ºC and 1.91 ºC.

In a normal distribution with mean and standard deviation , the z-score of a measure X is given by:

In this problem:

The cutoff values are:

Then, for Z = -1.91.

And, the upper cutoff is:

The cutoff values are -1.91 ºC and 1.91 ºC.

The sketch of the situation is given at the end of this question, with the accepted values.

A similar problem is given at link

just take the area of the square and then the area of the circle then subtract the circle area from the squares area

step-by-step explanation: