In testing a new drug, researchers found that 20% of all patients using it will have a mild side effect. A random sample of 25 patients using the drug is selected. Find the mean and standard deviation of patients having a mild side effect.

Mean = np = 25(.2) = 5 Ok

Standard deviation = sqrt (n*p*q) = sqrt ((25 * .2*.8)) = sqrt (4)

= 2
I have gotten this far but stuck on the finishing part can any one help me.

Thanks

Of course! I can help you with the final steps.

To find the standard deviation, you correctly calculated the value as 2. However, it's important to note that this value you obtained is the standard deviation for the number of patients who have a mild side effect, not the standard deviation for the proportion.

To find the standard deviation for the proportion, you need to divide the standard deviation of the number of patients (which is 2) by the square root of the sample size. In this case, the sample size is 25.

So, the standard deviation for the proportion can be calculated as follows:

Standard deviation (proportion) = 2 / sqrt(25)
= 2 / 5
= 0.4

Therefore, the standard deviation of patients having a mild side effect is 0.4.