Assume that a procedure yields a binomial distribution with a trial repeated $\displaystyle {n}={20}$ times. Use either the binomial probability formula (or a technology like Excel or StatDisk) to find the probability of $\displaystyle {k}={7}$ successes given the probability $\displaystyle {q}={0.46}$ of success on a single trial.

(Report answer accurate to 4 decimal places.)

$\displaystyle {P}{\left({X}={k}\right)}=$