An adult can lose or gain two pounds of water in the course of a day. Assume that the changes in water weight are uniformly distributed between minus two and plus two pounds in a day. What is the standard deviation of your weight over a day? Round your answer to 2 decimal places.

Standard deviation of the weight over a day is 1.15

Step-by-step explanation:

Since it is given that water weight is uniformly distributed between -2 to 2.  

So applying formula for variance of uniformly distribution as follows,  

From the given data, values of a and b is , , ..

Substituting the values,  

Now,

Dividing the fraction by 4,

So, the value of variance is

The formula for standard deviation is given as,

Substituting the value,

Rounding to 2 decimal places,

So, the value of standard deviation is 1.15.