Question 1196866
mean is 0
standard deviation is 1
z-score = (x - m) / s
z is the z-score
x is the raw score
m is the mean
s is the standard deviation.
fox x = .76, the formula becomes z = (.76 - 0) / 1 = .76
area to the left of a z-score of .76 = .77637.
this means that the probability of obtaining a reading less than .76 from a randomly selected thermometer = .77637 = 77.637%.
this means that 77.637% of the thermometers in the batch of thermometers will have a reading less than .76 degrees centigrade when the actual temperature is 0 degrees centigrade.
on the graph, the normal distribution will look like this:
<img src = "http://theo.x10hosting.com/2022/100401.jpg">