(1) Find C(n, x)pxqn −x for the given values of n, x, and p. (Round your answer to four decimal places.)

n = 7, x = 2, p = 1/3
(2) Use the formula C(n, x)pxqnx to determine the probability of the given event. (Round your answer to four decimal places.)

The probability of exactly three successes in six trials of a binomial experiment in which p = 1/2


(3) Use the formula C(n, x)pxqnx to determine the probability of the given event. (Round your answer to four decimal places.)

The probability of at least five successes in ten trials of a binomial experiment in which p = 1/2



(4) Use the formula C(n, x)pxqnx to determine the probability of the given event. (Round your answer to four decimal places.)
The probability of no failures in seven trials of a binomial experiment in which p = 1/3
(5) Use the formula C(n, x)pxqnx to determine the probability of the given event. (Round your answer to four decimal places.)
The probability of at least one failure in seven trials of a binomial experiment in which p = 1/4