random

I'm Smarter Than a Monkey!

 

The oracle said that Socrates was the smartest man in Greece because he acknowledged and appreciated his own ignorance. I must be the smartest law school graduate in Chicago because I’m painfully aware of how much I don’t know.

I just took a diagnostic test on the multi-state multiple choice section of the bar exam…and scored a 35%.

Now, the good news is that each question had four options, meaning I did better than a monkey would have done on the exam.

But I’m pretty sure that if you gave the 50-qustion exam to a bunch of monkeys, one of them would have beat 35%. Damn, back in high school, I probably could have told you exactly how many monkeys (who answer exam questions randomly) would need to take a 50-question multiple-choice exam (in which each question has four answer choices) to make it more likely than not that one of them would score at or above the 35% mark.

Tell you what, anybody who can figure out the answer to that question gets a free copy of LAWYER BOY.

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Not enough

Not enough information...although I'm sure if you asked a bunch of monkeys, one of them would answer you correctly

Pretty sure I gave enough

Pretty sure I gave enough info...what else do you need?

How smart are the monkeys?

How smart are the monkeys?

 average monkey smart

 average monkey smart

Is it 4 to the 50th power

Is it 4 to the 50th power monkeys? The problem with monkey analysis is that it's not a complete random number generator. The monkeys might influence one another, after all monkey see, monkey do. Monkeys tend to pick "B" repeatedly because monkeys think that B means banana.

 Okay, counselor Pirates, I

 Okay, counselor Pirates, I will hit up my calculator and get back to you.  My gut tells me your guess is too high, but we will see...

I bet it's .35*(4^50)

I bet it's .35*(4^50) monkeys. If you're only trying for 35% accuracy. But, I don't think it's entirely right because monkeys aren't random number generators. They're not dependent variables. If monkey-see monkey-do holds true, then they could very well all hit the same button each time (see supra re bananas)

What's up Ricky. You lawyers

What's up Ricky. You lawyers may be smart - most probably smarter than monkeys even ... but it looks like you need the help of a Financial Engineer with this problem. ;)

You'd need ~13 monkeys taking the test such that there is a greater than 50% chance that at least one of them scores 35% or better.

A single monkey has a score that follows a binomial distribution with 50 trials and a success of each trial of 25% (ie, 50 questions, 4 choices each question). This binomial distribution can be approximated with a normal distribution with mean of [50 * .25] and standard deviation of [sqrt(50 * .25 * .75)]. To get at least 35% correct on the test, the monkey would need at least 17.5 questions correct, which is 1.63 standard deviations from the mean [(17.5 - mean) / std dev]. A z-score of 1.63 or better happens 5.12% of the time [1 - (standard normal cumulative distribution function evaluated at 1.63)] meaning that a single monkey would score 35% or better with probability 5.12%.

Now we want to know how many monkeys it takes to get a 50% probability or better that at least one of them scores at least 35%. With a batch of n monkeys, the probability that NONE of them score 35% or better is [(1 - 5.12%) ^ n]. So, the probably that AT LEAST ONE of them scores 35% or better is [1 - (1 - 5.12%) ^ n]. We want this probability to be greater than or equal to 50%, so simply set this equation equal to 50%, and solve for n (consolidate terms, take log of both sides, and divide). Viola - 13.179 monkeys!

It's up to you to determine whether 13 monkeys is a comforting number or not. At any rate, I would guess there are many fewer videos of monkeys doing card tricks on YouTube. =)



Train to Michigan

 

 

 

I ran into my friend Tom on the train and asked/told him to write a blog entry for me. Here’s what he came up with:

“So I got on the train heading home from Chicago to Ann Arbor and bumped into my old friend Rick. Rick and I both go to professional schools – Rick, obviously, is in law school, and I’m a soon-to-be third year medical student. Different paths, to be sure, but I feel we’re both pursuing careers that suit our personalities.”

(Editor’s note: What does Tom mean by this? That he wants to help people and I want to fight with them, right? That’s how I read it, at least.)

“In any case, running into Rick on the train was fortunate, as I had assumed my trip would be a boring late-night return, and instead it turned out to be a grand adventure full of reminiscence, controversy, mystery, intrigue, and even a little hostility.”

(Editor’s note: You gotta love how Tom classifies what happened on the train but doesn’t actually describe any of it.)

-Tom O’Lynnger

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What kind of guest blog is

What kind of guest blog is this?? All I see are editor's comments.

Tom, it seems you came to

Tom, it seems you came to the blog during a down period. It was kickin' just a month ago! Ricky just changed the website to promote his book, so I think most readers don't realize it's still a blog about law school.

Also, your story would benefit from specifics, which might inspire more comments. A "grand adventure full of reminiscence, controversy, mystery, intrigue, and even a little hostility” could describe anything from 'The Three Musketeers' to a weekend brunch at IHOP with my family.

 Down period?!?  What they

 Down period?!?  What they hey, Counselor Elliott?!  What they hey, indeed.

I'll give you some

I'll give you some specifics. While I was on my way home from work, I received a call from one Thomas O'Lynnger. He informed me that he was on his way home from Chicago via train. Not more than 20 minutes later, I received a phone call from one Rick Lax, who informed me that he was also on his way home. Knowing that Ricky can't stand long car rides and nearly always takes the train to Michigan, I asked him if he knew that he was on the same train as Tom, a mutual acquaintance.
With a thunderous laugh, Rick admitted that he did and that I had found them out. I asked what he was referring to and he began explaining that he and Tom had devised a complex plot wherein he would talk to me for the duration of their trip (approximately 1 hour) all the while dropping clues as to his whereabouts, eventually leading me to the conclusion that I had made within 5 seconds of our conversation.

The question I pose is this: while law school might aid one in developing critical thinking, does it lead one to a better position to judge the critical thinking abilities of others?

No offense, Counselor Lax. I

No offense, Counselor Lax. I simply meant to suggest that your blog is going through a TRANSITION period. Looks, it's already flooding with comments!

In my defense, Rick told me

In my defense, Rick told me that I'd be missing the point of the blog if I took more than 4 minutes to write it. Not being a seasoned blogger, I didn't think I'd be able to go into depth without analyzing my writing and reflecting on what I wrote, which would take considerably longer. Hence, the vague but quickly written blog. In addition, much of the story would be better told by Rick, and I believe some of it might make it into future books.

I want to go to the IHOP

I want to go to the IHOP with Elliott's family.

I think that RickLax's

I think that RickLax's mistake was not realizing the difference between four minutes of lawyer writing and four minutes of doctor writing.

Four minutes of lawyer writing is about a page and a half, single spaced, sized 8 font.

Four minutes of doctor writing is two handwritten sentences. Or maybe it's a dog chasing a telephone? Wait, is that an S or an R? Did you need ambisome or ambian?

I imagine the first draft of this blog-post looked like the picture in this article.
http://consumerist.com/consumer/health/is-your-doctors-bad-handwriting-d...

That's totally true.  I

That's totally true.  I forgot about that.  I feel like kinda  jerk now.



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