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Answer:
The expected amount earned by a waitress per evening is $95.83.
Step-by-step explanation:
At a local restaurant there are six rooms total; 1 is a "high roller" room and other 5 are normal rooms.
There are 6 waitresses working at the local restaurant.
The room assignments are made by fair random selection such that each waitress has an equal probability of being in the "high roller" room.
This implies that a waitress can be assigned any of the six rooms with probability, .
The tip earned by the waitress working in the "high roller" room is $200 and that for other rooms is $75.
So, the distribution of tips earned is as follows:
X: $200 $75 $75 $75 $75 $75
P (X):
The expected value of a random variable is given by:
Compute the expected amount earned by a waitress per evening as follows:
Thus, the expected amount earned by a waitress per evening is $95.83.