Question

assume the readings on thermometers are normally distributed with a mean of 0°c and a standard deviation of 1.00°c. find the probability that a randomly selected thermometer reads between - 1.88 and - 1.19 and draw a sketch of the region. click to view page 1 of the table. click to view page 2 of the table. sketch the region. choose the correct graph below. o a. -1.88 -1.19 o b. -1.88 -1.19 o c. -1.88 -1.19

Explanation:

Step1: Analyze the normal distribution curve

In a normal distribution, the area between two \(z -\)scores (\(-1.88\) and \(-1.19\)) is shaded. The normal distribution curve is symmetric about the mean (\(z = 0\)). The region between two negative \(z -\)scores should be a continuous region between the two vertical lines corresponding to \(z=-1.88\) and \(z =-1.19\) on the left - hand side of the mean.

Step2: Check each option

• Option A: The shaded region is not a continuous region between \(z=-1.88\) and \(z=-1.19\).
• Option B: The shaded region is not a continuous region between \(z=-1.88\) and \(z=-1.19\).
• Option C: The shaded region is a continuous region between \(z=-1.88\) and \(z=-1.19\)

Answer:

C.