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The parameters of the normal distribution of the thermometer readings are its mean and the standard deviation
The probability that a thermometer reading is between 99.86o F and 100.07o F is 0.5403
<h3>The sketch of the normal distribution of the thermometer</h3>The given parameters are:
- Mean, μ = 100
- Standard deviation, σ = 0.15
Next, we draw the normal distribution using a graphing calculator.
See attachment for the sketch of the normal distribution of the thermometer
<h3>The probability that a thermometer reading is between 99.86o F and 100.07o F</h3>This means that:
x = 99.86 and x = 100.07
The probability is calculated as:
P(99.86 < x < 100.07) = P(x > 99.86) - P(x < 100.07)
Using the attached graph, we have:
P(99.86 < x < 100.07) = 0.5403
Read more about normal distribution at:
Based on the calculations, the temperature of this ideal gas is equal to 300.5 K.
<h3>How to calculate the temperature.</h3>Mathematically, the temperature of an ideal gas is given by this formula:
<u>Where:</u>
- P is the pressure.
- R is the ideal gas constant.
- T is the temperature.
- n is the number of moles.
- V is the volume.
<u>Given the following data:</u>
Number of moles = 12.20 moles.
Volume = 18.35 L.
Pressure = 16.40 atm.
Substituting the given parameters into the formula, we have;
T = 300.5 K.
Read more on temperature here: brainly.com/question/3173452