Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean of 0°C and a standard devia
tion of 1.00°C. A single thermometer is randomly selected and tested. Find the probability of obtaining a reading less than -0.23°C. Round your answer to 4 decimal places P ( Z < − 0.23 ) =
Since we are assuming that the readings at freezing on a batch of thermometers are normally distributed, we would apply the formula for normal distribution which is expressed as
z = (x - µ)/σ
Where
x = the readings at freezing on a batch of thermometers.
µ = mean temperature reading
σ = standard deviation
From the information given,
µ = 0°C
σ = 1.00°C
the probability of obtaining a reading less than -0.23°C is expressed as
P(x > - 0.23)
For x = - 0.23
z = (- 0.23 - 0)/1 = - 0.23
Looking at the normal distribution table, the probability corresponding to the z score is 0.41
There is an infinite number of any smaller figures inside of any figure. It's because we can always divide it "one more time", and then again and again and again...
