Answer:
0.0549 is the probability that the thermometer reads between -2.22 and -1.49.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 0 degrees
Standard Deviation, σ = 1 degrees
We are given that the distribution of readings on thermometers is a bell shaped distribution that is a normal distribution.
Formula:
[tex]z_{score} = \displaystyle\frac{x-\mu}{\sigma}[/tex]
P(thermometer reads between -2.22 and -1.49)
[tex]P(-2.22 \leq x \leq -1.49) = P(\displaystyle\frac{-2.22 - 0}{1} \leq z \leq \displaystyle\frac{-1.49-0}{1}) = P(-2.22 \leq z \leq -1.49)\\\\= P(z \leq -1.49) - P(z < -2.22)\\= 0.0681 - 0.0132 = 0.0549[/tex]
0.0549 is the probability that the thermometer reads between -2.22 and -1.49.