Determine the Binomial Probability Formula Given the Number of Trials $$\mathrm { n } = 4 , \mathrm { p } = \frac { 1 } { 4 } , \mathrm { P } ( \mathrm { X } = 3 )$$

Multiple Choice

Determine the binomial probability formula given the number of trials and the success probability for Bernoulli trials.Let X denote the total number of successes. Round to three decimal places.
- $$\mathrm { n } = 4 , \mathrm { p } = \frac { 1 } { 4 } , \mathrm { P } ( \mathrm { X } = 3 )$$

A) $0.070$
B) $0.047$
C) $0.061$
D) $0.016$