A company has positions for three employees. Applicants for these jobs appear at a Poisson rate of two per year. If all jobs are
filled, they look elsewhere. Those who hold a job do so for an exponentially distributed time with mean one-half year. a. Determine the proportion of applicants that are turned away. b. What is the average number of employees?
Let πj denote the steady-state probabilities. Assume that these values are known.
a). Determine the proportion of applicants that are turned away.
Because Poisson arrivals see time averages (PASTA), the proportion of applicants that are turned away is equal to the fraction of the time that the company is fully staffed.
Therefore, π3 ←
b). What is the average number of employees?
From the definition of expected value, 0π0 + 1π1 + 2π2 + 3π3 ←
Because the judgement of executives does not adequately factor into a mathematical equation. it's like a judgement call only whereas the others can be used in an equation manner
The answer to this problem is "COHESION" which also means that an action forming or coming up as a united whole. Hence, when Navy seals go through extremely difficult training and exercises. For those who succeed become a member of one of the most elite and strong fighting units in the world. They must trust each other completely and form an intense emotional bond s and these teams have levels of COHESION. They work hard for a common goal as consider each other as one in moving during fights. They are united and having this strong bond between each other.
