Assume that a procedure yields a binomial distribution with a trial repeated n times. Use the binomial probability formula to find the probability of x successes given the probability p of success on a single trial. Round to three decimal places.
-$\mathrm { n } = 10 , \mathrm { x } = 8 , \mathrm { p } = 0.5$

A) 0.057
B) 0.004
C) 0.044
D) 0.066

Question

Assume that a procedure yields a binomial distribution with a trial repeated n times. Use the binomial probability  formula to find the probability of x successes given the probability p of success on a single trial. Round to three decimal places.
-$\mathrm { n } = 10 , \mathrm { x } = 8 , \mathrm { p } = 0.5$

A) 0.057
B) 0.004
C) 0.044
D) 0.066

Quizplus · Accepted Answer

The binomial probability formula is $ P(X = x) = \binom{n}{x} p^x (1-p)^{n-x} $. Plugging in the values: $ \binom{10}{8} (0.5)^8 (0.5)^2 = 45 \times 0.00390625 \times 0.25 = 0.0439453125 $, which rounds to 0.044.

Assume That a Procedure Yields a Binomial Distribution with a Trial