For every , we have
So, negletting the first term, each term of the sum is greater than 1, which implies
Which means that the series diverges.
Which expression represents the total number of pages Saul has read, where W represents the number of the weeks since he first s
tarted reading
2 answers:
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Answer:
The expected number of days until prisoner reaches freedom is 12 days
Step-by-step explanation:
From the given information:
Let X be the random variable that denotes the number of days until the prisoner reaches freedom.
We can evaluate E(X) by calculating the doors selected, If Y be the event that the prisoner selects a door, Then;
E(X) = E( E[X|Y] )
E(X) = E [X|Y =1 ] P{Y =1} + E [X|Y =2 ] P{Y =2} + E [X|Y =3 ] P{Y =3}
Solving for E[X]; we get
E[X] = 12