The smarter way
to do assignments.

Please note that this is just a preview of a school assignment posted on our website by one of our clients. If you need assistance with this question too, please click on the Order button at the bottom of the page to get started.

Assignment 12
1 ) “Using an unfair coin as a fair die”) Suppose you have an unfair coin with a probability p   of coming up heads and
probability (1−p) of coming up tails on any given flip.
Define a procedure for picking a number from 1 to 6 as follows:
– First, flip the coin 4 times.
– ifIf the total number of heads out of the 4 flips is anything other than 2, start over from the previous step.
– Assuming the number of heads is 2, report a number from 1 to 6 according to the table below:

If the sequence is,,,,Report the numbers
HHTT.                                                                                                     1
HTHT.                                                                                                     2
HTTH                                                                                                     3
THHT                                                                                                     4
THTH                                                                                                     5
TTHH                                                                                                     6

Show that this procedure generates the numbers 1 to 6 with equal probability.
What if anything does this have to do with sufficient statistics?
2) Suppose a certain unknown proportion F   of voters support a particular political candidate in the
upcoming election, and you are interested in making inferences about F . You ask a pollster to perform a
survey of n   people at random from the population, ask each person whether they support the candidate,

and report the sequence of their responses. Instead, the pollster just records the total number of people
out of n n  who said that they support the candidate. Do you need to redo the survey? Why or why not?
3) Is it important to have a sufficient statistic for a parameter in order to do Bayesian inference? Why or why not?
Rubric
3Q Rubric

## GET HELP WITH THIS ASSIGNMENT TODAY

Clicking on this button will take you to our custom assignment page. Here you can fill out all the additional details for this particular paper (grading rubric, academic style, number of sources etc), after which your paper will get assigned to a course-specific writer. If you have any issues/concerns, please don’t hesitate to contact our live support team or email us right away.