16% of the Employees of a Certain Company Cycle to Work

question 28

Essay

16% of the employees of a certain company cycle to work. Three employees are selected at random from the company and asked whether or not they cycle to work. Considering a success to be "cycles to work", formulate the process of observing whether each of the three employees cycles to work as a sequence of three Bernoulli trials. Complete the table below by showing each possible outcome together with its probability. Display the probabilities to three decimal places. List the outcomes in which exactly one of the three employees cycles to work. Without using the binomial probability formula, find the probability that exactly one of the three employees cycles to work. $$\begin{array} { r | r } \text { Outcome } & \text { Probability } \\ \hline \text { sss } & ( 0.16 ) ( 0.16 ) ( 0.16 ) = 0.004 \end{array}$$

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Definitions:

Healthy Family

A family characterized by supportive, loving relationships, effective communication, and behaviors that promote the physical and mental well-being of its members.

Wellness

A holistic approach to maintaining a healthy lifestyle, focusing on physical, mental, and emotional health.

Illness Behavior

The ways individuals react and respond to being ill, including seeking treatment, interpreting symptoms, and coping with the illness.

Sick-role Behavior

The pattern of expectations and behavior that a person adopts when ill, including seeking medical help and temporarily assuming a dependent and exempt status from normal duties.