Next Page Page 28 of 3 that you saye your response as you complete each question

Question

Next Page Page 28 of 3 that you saye your response as you complete each question. uestion 28 (3 points) When playing "The Balance Game, one player had 25 items waiting for him to process. He used a 6-sided die to determine his maximum service rate for each turn. What is the expected number of turns that it will take to process those 25 items without any additional items arriving from the preceding player? Round to 1 decimal place. Put only a numeric answer in the frst blank. Units are optional in the second blank. Your Answer: Answer units Save Previous Page Next Page Page 28 of 37 n...exesupport-LogMen...exe

Explanation / Answer

Given that the service rate depends on the number appears on the dice when he roll's up.

A dice has 6 outcomes - 1,2,3,4,5,6 which are equally probable to occur when the dice is rolled. i.e the probability of occurring each number on the dice is equal to (1/6)

Therefore the expected outcome when the dice are rolled

= (1/6)*1 + (1/6)*2 + (1/6)*3 + (1/6)*4 + (1/6)*5 + (1/6)*6

= 1/6(1+2+3+4+5+6)

=21/6

=3.5

Therefore the expected service rate = 3.5 units per turn.

As we needed to complete 25 units.

The number of turns required is 25/3.5

= 7.14 turns

~7.1 turns

The number of turns expected is 7.1 turns to complete processing of 25 units.

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