(a) If the mean and variance of a binomial distribution are 4/3 and 8/9 respectively, then find P (x=1).

If the mean and variance of a binomial distribution are $\displaystyle \frac{4}{3}$ and $\displaystyle \frac{8}{9}$ respectively, then find $\displaystyle \mathrm{P}(x=1)$.

The mortality rate for a certain disease is 0.007. Using Poisson distribution, calculate the probability for $\displaystyle 2$ deaths in a group of $\displaystyle 400$ people. [Use $\displaystyle \mathrm{e}^{-2.8}=0.0608$]