The probability of getting a reading between 0.25°C and 1.00°C is

Question

The probability of getting a reading between 0.25°C and 1.00°C is

Answer 1

Hi Emmanuel,

You need to know the mean µ and standard deviation σ of the distribution to answer this question. Once you know these, you calculate z using:

z=(x-µ)σ

Because you are being asked for the probability of being between two values, you need to calculate two z-scores.

For example, if µ = 5°C and σ = 3°C, you would calculate:

z1 = (0.25-5)/3 = -1.58

z2 = (1.00-5)/3 = -1.33

Then you use a z-table to subtract P(z2)-P(z1).

A faster way to do it is to use the normalcdf function on a graphing calculator, with 0.25 as the lower limit and 1.0 as the upper limit, and enter your mean and standard deviation.

Either way, you should get P(0.25 < x < 1.00) ≈ 0.0345

Hope that helps!

Steph