Assume that the readings on the thermometers are normally distributed with a mean of 0 degrees0° and standard deviation of 1.00degrees°C. Assume 2.72.7% of the thermometers are rejected because they have readings that are too high and another 2.72.7% 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.

The diagram is attached below.

Step-by-step explanation:

A normal distribution mean 0 and standard deviation 1 is known as the standard normal distribution.

So, the readings on the thermometers (denoted by Z) follows N (0, 1).

It is provided that 2.7% of the thermometers are rejected because they have readings that are too high and 2.7% are rejected because they have readings that are too low.

This implies that:

The value of z associated to both these probabilities are:

z = 1.93.

That is,

*Use a z-table.

The diagram for the two readings that are cutoff values separating the rejected thermometers from the others is attached below.

the area of a triangle is determined by the formula: base x height * 1/2

you'll need to assign a base to the triangle. based on the vertices given, the simplest base would be the line segment from (-2,1) to (2,1). the distance between any two numbers is found by just subtracting them. here, you should subtract the x values to find the distance of this side.

2 - (-2) = 4.

so the distance (aka the length of the base) is 4. the height of the triangle is the distance between the base and the highest point on the triangle which is (3,4). we should subtract the y values this time to find the height/distance.

4 - 1 = 3

so the height is 3.

base = 4

height = 3

hope this if needed hmu