The amount of weight lost by people on a special diet is normally distributed with a mean of 8 kg and standard deviation of 3.5 kg. If 1500 people were on this diet, how many are expected to lose between 6.95 kg and 10.8 kg?

Step-by-step explanation:

Suppose there is the addition of a constant "b" to each generic dataset, then, new mean = old mean + b. This will affect the variance and the standard deviation of the resulting dataset to remain the same:

From the information given:

Proof:

If c is added to each data set:

Then,

also;