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

question 128

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) \(0.016\)

---

Definitions:

Deposited

The process by which sediments, minerals, and other substances are laid down or settled in a new location.

Slowing

The reduction in speed or rate of an activity or process.

Current

A directional movement of water, which can be caused by temperature, salinity differences, wind, or tidal forces in the ocean.

Sediment

Particles or fragments of rocks, minerals, or organic materials that have been transported and deposited by wind, water, or ice.