Answer:
0. 142857
Step-by-step explanation:
Answer: 0.2134
Step-by-step explanation:
Given : Mean readings on thermometers =![\mu=0^{\circ}\ C](https://tex.z-dn.net/?f=%5Cmu%3D0%5E%7B%5Ccirc%7D%5C%20C)
Standard deviation = ![\sigma=1.00^{\circ}\ C](https://tex.z-dn.net/?f=%5Csigma%3D1.00%5E%7B%5Ccirc%7D%5C%20C)
We assume that the readings on thermometers are normally distributed.
Let x be the random variable that represents the reading on a random thermometer.
To find z-score : ![z=\dfrac{x-\mu}{\sigma}](https://tex.z-dn.net/?f=z%3D%5Cdfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D)
For x = -0.99
![z=\dfrac{-0.99-0}{1}=-0.99](https://tex.z-dn.net/?f=z%3D%5Cdfrac%7B-0.99-0%7D%7B1%7D%3D-0.99)
For x= -0.32
![z=\dfrac{-0.32-0}{1}=-0.32](https://tex.z-dn.net/?f=z%3D%5Cdfrac%7B-0.32-0%7D%7B1%7D%3D-0.32)
By using the standard normal distribution table , the probability that a randomly selected thermometer reads between -0.99 and -0.32 will be :-
![P(-0.99](https://tex.z-dn.net/?f=P%28-0.99%3Cx%3C-0.32%29%3DP%28-0.99%3Cz%3C-0.32%29%5C%5C%5C%5C%3DP%28z%3C-0.32%29-P%28z%3C-0.99%29%5C%5C%5C%3D0.3744842-0.1610871%3D0.2133971%5Capprox0.2134)
For the chart do
Y2- y1
————
X2- x1
So the numbers would be
22-14
———-
9-5
Which will equal the slope