Question

The mean survivial time after diagnosis for a certain disease is 15 years with a standard deviation of 5 years. Based on a particular treatment, an individual's predicted survival time is 2.8 standard deviations beyond the mean. How much longer, after diagnosis, is the patient expected to survive?

Answer 1

The time the patient expected to survive after diagnosis is 29 years.

Explanation:

It is provided that the mean survival time after diagnosis for a certain disease is 15 years with a standard deviation of 5 years.

That is,

`\mu=15\\\sigma=5`

An individual's predicted survival time is a = 2.8 standard deviations beyond the mean.

Compute the time the patient expected to survive after diagnosis as follows:

`X=\mu+a\sigma`

`=15+(2.8* 5)\\\\=15+14\\\\=29`

Thus, the time the patient expected to survive after diagnosis is 29 years.