Question

The following table gives the probability distribution of a discreet random variable X use the table to find the following probability round solution in 3 decimal places

Answer 1

The binomial experiment is given with probability of 11.16%

$p=0.1116,n=3200,q=1-p=0.8884$

The mean is given by:

$\mu=np=3200\times0.1116=357.12$

The standard deviation is given by:

$\sigma=\sqrt{npq}=\sqrt{3200\times0.1116\times0.8884}=17.812$

The mean and standard deviation are calculated, the mean is 357.12 and the standard deviation is 17.812.