Assume the readings on thermometers are normally distributed with a mean of 0deg

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 between 1.47

and 0.69

and draw a sketch of the region.Click to view page 1 of the table.

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Click to view page 2 of the table.

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Sketch the region. Choose the correct graph below.

A.

-0.69-1.47

Edit Coordinates... (0,0)

A graph with a bell-shaped curve, divided into 3 regions by 2 lines from top to bottom, both on the left side. Moving from left to right, the regions left of the second line are shaded. The z-axis below this line is labeled negative 0.69. The z-axis below the first line is labeled negative 1.47.

B.

-0.69-1.47

Edit Coordinates... (0,0)

A graph with a bell-shaped curve, divided into 3 regions by 2 lines from top to bottom, both on the left side. The region between the 2 lines is shaded. Moving from left to right, the z-axis below the first line is labeled negative 1.47. The z-axis below the second line is labeled negative 0.69.

C.

-0.69-1.47

Edit Coordinates... (0,0)

A graph with a bell-shaped curve, divided into 3 regions by 2 lines from top to bottom, both on the left side. Moving from left to right, the region left of the first line is shaded. The z-axis below this line is labeled negative 1.47. The z-axis below the second line is labeled negative 0.69.The probability is

nothing .

Explanation / Answer

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 between 1.47

and 0.69

ans:=NORM.DIST(-0.69,0,1,TRUE)-NORM.DIST(-1.47,0,1,TRUE)

=0.174

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