That Comey’s decision to issue the letter had been so unorthodox and that the contents of the letter were so ambiguous helped fuel the story. The Times’s print lead on Oct. 30 was about Clinton’s pushback against Comey , and a story it published two days later explained that Comey had broken with precedent in releasing the letter. It covered all sides of the controversy. But the controversy was an unwelcome one for Clinton, since it involved voters seeing words like “Clinton,” “email,” “FBI” and “investigation” together in headlines. Within a day of the Comey letter, Google searches for “Clinton FBI” had increased 50-fold and searches for “Clinton email” almost tenfold.

SOURCES:

American Society for Reproductive Medicine web site.

American College of Obstetricians and Gynecologists web site.

Human Reproduction Update
, July-August 2002.

The Infertility Workup
and
Understanding Treatment Options
, RESOLVE online.

The Merck Manual
, Seventeenth Edition, 2000.

The Fertility Handbook: A Guide to Getting Pregnant
, Addicus Books, 2002.

Assisted Reproductive Technology Success Rates
, 2009, CDC.

According to various studies, the cost for wind and solar has dramatically reduced since 2006. For example, the Australian Climate Council states that over the 5 years between 2009–2014 solar costs fell by 75% making them comparable to coal, and are expected to continue dropping over the next 5 years by another 45% from 2014 prices. [36] They also found that wind has been cheaper than coal since 2013, and that coal and gas will become less viable as subsidies are withdrawn and there is the expectation that they will eventually have to pay the costs of pollution. [36]

At the end of 2 nd week the state vector is
Px 1

x (2) =
Px (1)
=
|.25
.20
.25
.30|
|.25|
=
|.2550 |
|.20
.30
.25
.30|
|.20|
=
|.2625 |
|.25
.20
.40
.10|
|.25|
=
|.2325 |
|.30
.30
.10
.30|
|.30|
=
|.2500 |

Note that we can compute x 2 directly using
x 0 as
x (2) = Px (1) = P(Px (0) ) =
P 2 x (0)
Similarly, we can find the state vector for 5 th , 10 th , 20 th , 30 th , and 50 th observation periods.
x (5) =
P 5 x (0) =
.2495
.2634
.2339
.2532
x (10) =
P 10 x (0) =
.2495
.2634
.2339
.2532
x (20) =
P 20 x (0) =
.2495
.2634
.2339
.2532
x (30) =
.2495
.2634
.2339
.2532

x (50) =
.2495
.2634
.2339
.2532

The same limiting results can be obtained by solving the linear system of equations P P = P using this JavaScript. It suggests that the state vector approached some fixed vector, as the number of observation periods increase. This is not the case for every Markov Chain. For example, if
P =
0
1
1
0
, and

At the end of 2 nd week the state vector is
Px 1

x (2) =
Px (1)
=
|.25
.20
.25
.30|
|.25|
=
|.2550 |
|.20
.30
.25
.30|
|.20|
=
|.2625 |
|.25
.20
.40
.10|
|.25|
=
|.2325 |
|.30
.30
.10
.30|
|.30|
=
|.2500 |

Note that we can compute x 2 directly using
x 0 as
x (2) = Px (1) = P(Px (0) ) =
P 2 x (0)
Similarly, we can find the state vector for 5 th , 10 th , 20 th , 30 th , and 50 th observation periods.
x (5) =
P 5 x (0) =
.2495
.2634
.2339
.2532
x (10) =
P 10 x (0) =
.2495
.2634
.2339
.2532
x (20) =
P 20 x (0) =
.2495
.2634
.2339
.2532
x (30) =
.2495
.2634
.2339
.2532

x (50) =
.2495
.2634
.2339
.2532

The same limiting results can be obtained by solving the linear system of equations P P = P using this JavaScript. It suggests that the state vector approached some fixed vector, as the number of observation periods increase. This is not the case for every Markov Chain. For example, if
P =
0
1
1
0
, and