A Washington-based nonprofit research group recently released a report indicating that 60% of government workers acknowledge witnessing violations of ethical standards, policies, or laws in the past year, 40% of which went unreported. An additional 10% of government workers acknowledged making false reports of violations of ethical standards, policies or laws when they did not actually occur. What is the probability a randomly selected government worker witnessed a violation of ethical standards, policies or laws in the past year but did not report it

Respuesta :

Answer:

The probability  that a randomly selected government worker witnessed a violation of ethical standards, policies or laws in the past year but did not report it is 0.3

Step-by-step explanation:

The outcome of the Washington- based nonprofit research group are that -

  • P (60)  -60% of government workers acknowledge witnessing violations of ethical standards, policies, or laws in the past year;
  • P (40%) - of which went unreported.
  • P (10) - An additional 10% of government workers acknowledged making false reports of violations of ethical standards, policies or laws when they did not actually occur.

∴ P(60%) + P(10%) =  P(70) which is Probability of those that are involved in one form of violations or the other.

Therefore, P(100%) - P(70%) = 30%

P( Not committed and withnessed any violations of ethical standards, policie or law) = 30%/100%

= 0.3