Find the mean, and standard deviation of the binomial distribution given the values of $n$ and $pn=60$ and $p=0\mathrm{.}4$

$=,=$

$61\%$ of men consider themselves professional baseball fans. You randomly select $10$ men and ask each if he considers himself a professional baseball fan. Find the probability that the number who consider them themselves baseball fans is

a$)$ Exactly $5$

b$)$ At least $6$

Round each answer to three decimal places