Nemo is a little fish who happens to be lost in a sea cave that is very dark. Nemo is in a room in the cave and there are 3 tunnels that connect to the room. One tunnel leads directly out of the cave after a two hour swim. One tunnel leads back to the room after an hour long swim. One tunnel leads back to the room after a three hour long swim. Since the room is very dark, Nemo cannot tell which tunnel is which. What is the expected length of time that Nemo stays in the cave?

Nemo is a little fish who happens to be lost in a sea cave that is very dark. Nemo is in a room in the cave and there are 3 tunnels that connect to the room. One tunnel leads directly out of the cave after a two hour swim. One tunnel leads back to the room after an hour long swim. One tunnel leads back to the room after a three hour long swim. Since the room is very dark, Nemo cannot tell which tunnel is which. What is the expected length of time that Nemo stays in the cave?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Concept explainers

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.

Question

Nemo is a little fish who happens to be lost in a sea cave that is dark.
very
Nemo is in a room in the cave and there are 3 tunnels that connect to the room. One
tunnel leads directly out of the cave after a two hour swim. One tunnel leads back to the
room after an hour long swim. One tunnel leads back to the room after a three hour long
swim. Since the room is very dark, Nemo cannot tell which tunnel is which. What is the
expected length of time that Nemo stays in the cave?

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