Answer to Question #162746 in Quantitative Methods for Sunny

Question

For a binomial distribution, the probability of success on any trial is 35 and 240 trials were carried out. What is the standard deviation of the distribution of number of points?

Answer 1

We have that

n = 240

p = 0.35

Standard deviation is calculated by the formula:

$$\sigma = \sqrt{npq}$$

where q = 1 – p = 1 – 0.35 = 0.65

Thus

$\sigma = \sqrt{240\cdot 0.35 \cdot 0.65} = 7.39$

Answer: 7.39