In the United States, 42% of the population has type A blood. Suppose 8 people from the U.S. are randomly chosen. Use the formula for binomial probabilities

$\displaystyle {P}{\left({k}\right)}={\left(\begin{array}{c} {n}\\{k}\end{array}\right)}{p}^{{k}}{\left({1}-{p}\right)}^{{{n}-{k}}}$

to find the probability that exactly 6 of the 8 people sampled have type A blood.

(a) First fill in the details of the binomial probability formula:

$\displaystyle {P}{\left({6}\right)}=$	$\displaystyle {(}$		$\displaystyle {)}$	(	)		(	)

(b) The probability, accurate to 4 decimal places, is