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*0.1116=357.12`

The standard deviation is given by:

`\sigma=√(npq)=√(3200*0.1116*0.8884)=17.812`

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