Consider a DTMC with state space {A, B, C, D, E, F, G} and the following state transitions: A

What is the expected time in hours until the first service completion after Cindy’s service begins?

Identify all communicating classes. For instance, for a DTMC with states {0,1,2}, if 0 and 1 communicate with each other, but neither does with 2, then the states can be classified in communicating classes as {0,1}, {2}.

Suppose you found two eggs from the coop today. Compute the expected number of eggs to find tomorrow. Show your work on the scratch paper.

Identify all recurrent states.

A gambler starts with $4 and plays a coin-flipping game, where: On each bet, the gambler wins $1 with probability 0.4 and loses $1 with probability 0.6. The game continues until the gambler either reaches $8 or loses all money ($0). Let us define a DTMC whose state corresponds to the gambler’s capital. 

Find the value of c that makes the given pmf a legitimate pmf. Write c as a fraction in your answer or show four digits after the decimal point. 

The marginal pdf of X is in the following form:   for the range of and , otherwise. Fill in the blanks with appropriate numbers.

What is the first stage of human resources planning (HRP)?  

Job analysis cannot be completed through online survey techniques.