Need to somehow prove P(Z less then z) is less then equation2  I dont know where to get started with this problem. Please help me figure out how to go about doing this problem. Thank you  So do i need to just integrate the equation given in part a from z to infinity ... how does that show its greater then P(Z less then z)?
I know that an easy to handle formula for the CDF of a normal distribution is somewhat missing, due to the complicated error function in it.  However, I wonder if there is a a nice formula for $N(c_{-} \leq x &lt; c_{+}| \mu, \sigma^2)$. Or what the "state of the art" approximation for this problem might be.
What is the most "pythonic" way to iterate over a list in chunks? I have a Python script which takes as input a list of integers, which I need to work with four integers at a time.  Unfortunately, I don't have control of the input, or I'd have it passed in as a list of four-element tuples.  Currently, I'm iterating over it this way: for i in range(0, len(ints), 4):     # dummy op for example code     foo += ints[i] * ints[i + 1] + ints[i + 2] * ints[i + 3]  It looks a lot like &quot;C-think&quot;, though, which makes me suspect there's a more pythonic way of dealing with this situation.  The list is discarded after iterating, so it needn't be preserved.  Perhaps something like this would be better? while ints:     foo += ints[0] * ints[1] + ints[2] * ints[3]     ints[0:4] = []  Still doesn't quite &quot;feel&quot; right, though.  :-/ Related question: Indicating a name change after publication My wife has publications under both her maiden name and her married name. How should she indicate that this is the case on her CV, if she wants to mention publications from both time periods? Starting digits of $2^n$. Is installing wine in Ubuntu safe? How to get the Input and output in a terminal to a text file? I want to create a text file which will add each command I am going to run on the terminal as a new line entry in the text file. i.e., I need to keep a record of what are the things I'm doing in the terminal. Further if I can keep a record of outputs I'm getting in the terminal, along with the inputs in the terminal, as a text file, it will be much better.   Each time I forget a command I have to search again in the Internet for the command.  Can I can make a file like above? I want the entries in the TOC for the indices to align with the Chapter entries. I can do this with \addcontents. \printindex also puts an entry in the TOC but it is aligned with the section entries.   So I want to:    change how printindex makes its entry into the TOC or  to eliminate printindex entry.   MWE:  \documentclass{book} \usepackage{multind}        % create the indices \makeindex{names}            \makeindex{subject} \newcommand{\Ndx}[1] { \index{names}{#1} }     % define the type of entry \newcommand{\Sdx}[1] { \index{subject}{#1} }   % to the indices \usepackage[headings]{fullpage}         % 8-1/2, 11 page with 1" margins \usepackage{fancyhdr} \pagestyle{fancy} \begin{document} \fancyhead{} \fancyfoot{} \renewcommand{\sectionmark}[1]{\markright{\thesection.\ #1}} \fancyhead[LE,RO]{\rightmark} \fancyhead[RE,LO]{\thepage} \tableofcontents        % put table of contents here  \chapter{\bf Logic, Plausibility, and Probability} \label{Ch:Logic} \section{Logical Arguments and Reasoning } It is obvious that logical arguments are essential to the judicial system. The logic must be able to treat syllogisms\Sdx{syllogism} that range from deductive\Sdx{syllogism!deductive} to abductive\Sdx{syllogism!abductive}, that is from strong to weak syllogisms \Sdx{syllogism!weak}\Sdx{syllogism!strong} as illustrated in the table taken from Author \Ndx{Author} \Ndx{Cohen} \Sdx{Cohen on probability} \clearpage \addcontentsline{toc}{chapter}{Subject Index} \printindex{subject}{Subject Index} \addcontentsline{toc}{chapter}{Name Index} \printindex{names}{Name Index} \end{document} Why can't the end code of an environment contain an argument? How to troubleshoot unwanted white spaces smartly? Why is there a white space on the left side?  \documentclass{standalone} \usepackage{asymptote} \begin{document} \noindent \begin{asy} size(10cm,10cm); draw((0,0)--(100,100)); draw((0,100)--(100,0)); dot((50,50)); \end{asy} \end{document} Decode HTML entities in Python string? Is gnu coreutils sort broken? From the man page on git-merge, there are a number of merge strategies you can use.     resolve -  This can only resolve two heads (i.e. the current branch and another branch you pulled from) using 3-way merge algorithm. It tries to carefully detect criss-cross merge ambiguities and is considered generally safe and fast. recursive -  This can only resolve two heads using 3-way merge algorithm. When there are more than one common ancestors that can be used for 3-way merge, it creates a merged tree of the common ancestors and uses that as the reference tree for the 3-way merge. This has been reported to result in fewer merge conflicts without causing mis-merges by tests done on actual merge commits taken from Linux 2.6 kernel development history. Additionally this can detect and handle merges involving renames. This is the default merge strategy when pulling or merging one branch. octopus -  This resolves more than two-head case, but refuses to do complex merge that needs manual resolution. It is primarily meant to be used for bundling topic branch heads together. This is the default merge strategy when pulling or merging more than one branches. ours -  This resolves any number of heads, but the result of the merge is always the current branch head. It is meant to be used to supersede old development history of side branches. subtree -  This is a modified recursive strategy. When merging trees A and B, if B corresponds to a subtree of A, B is first adjusted to match the tree structure of A, instead of reading the trees at the same level. This adjustment is also done to the common ancestor tree.   When should I specify something different than the default?  What scenarios are each best for? Can we get x comment votes per y minutes, rather than one vote per 5 seconds? Why can't a class extend its own nested class in C#? For example:  public class A : A.B {     public class B { } }   Which generates this error from the compiler:     Circular base class dependency   involving 'A' and 'A.B'   I always figured a nested class behaved just like a regular class except with special rules concerning accessing the outer class's private members, but I guess there's some implicit inheritance occurring between the two classes? I've got a question about how to drive the car in Europe on Highways. In the US, I can overtake another car on either side, and I am fine.  In Europe I was told that I have to drive on the right side (Germany), and to overtake on the left side of the other driver.  Now I had following situation, and I did not know how to handle this properly: I was driving along on the right lane, the Autobahn was 3 lanes wide on my side, and was going around 110 km/h. Someone overtook me, but he stayed on the middle lane, and suddenly got slower. He wasn't really in front of me, so I could not change to the left lane, but I was told I may not overtake on the right side.  Would I have to brake in such a situation, or should I just ignore it, and overtake him again on the right side?  (I overtook him, and he was on the phone, so I guess that was why he got distracted and slowed down that much). Expectation values of the position operator is equal to zero in case of even potentials? Correct usage of ‘on’, ‘at’ and ‘in’ How do we know that certain quantum effects are random? How do i fix this Eevee rendering Problem? I can notfix this issue when selecting Eevee for my renders. It gets really annoying. I can get rid of them temporary when I scroll out or into the viewport. Does anyone have an Idea how I can fix that?  thanks c: PDOException when creating the table: Base table or view not found I have Drupal running on MariaDB 5.5.33. When I run update.php (after upgrade to Drupal 7.28 from Drupal 6) I get an error:     Failed: PDOException: SQLSTATE[42S02]: Base table or view not found: 1146 Table 'webdb.location_country' doesn't exist: CREATE TABLE {location_country} ( code CHAR(2) NOT NULL COMMENT 'Primary Key: Two letter ISO Country Code', name VARCHAR(255) NOT NULL DEFAULT '' COMMENT 'Full Country Name ', PRIMARY KEY (code) ) ENGINE = InnoDB DEFAULT CHARACTER SET utf8 COMMENT 'Country data managed by location.module.'; Array ( ) indb_create_table() (line 2720 of /home/web/public_html/includes/database/database.inc).   When I try to run command     CREATE TABLE {location_country} ( code CHAR(2) NOT NULL COMMENT 'Primary Key: Two letter ISO Country Code', name VARCHAR(255) NOT NULL DEFAULT '' COMMENT 'Full Country Name ', PRIMARY KEY (code) ) ENGINE = InnoDB DEFAULT CHARACTER SET utf8 COMMENT 'Country data managed by location.module.';   in phpMyAdmin I get an error     #1064 - You have an error in your SQL syntax; check the manual that corresponds to your MariaDB server version for the right syntax to use near '{location_country} ( code CHAR(2) NOT NULL COMMENT 'Primary Key: Two letter IS' at line 1   But I wasn't able to find out where is the problem. I dont quite understand how pipes work in bash.  I know that it takes an output from one command as the input in another command.  What an output is I can get because it's what the command prints out to the screen.  But how do I know what input a command will take?  Here is an example I thought would work:  which gem | rm   Unfortunately it didn't.  Which gem prints out /usr/bin/gem so that must be the output right?  I thought that was given to rm so it woud be rm /usr/bin/gem but I was wrong.  So my question is, how do I know what input a command takes?