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**iLloyd054****Member**- Registered: 2014-04-01
- Posts: 10

1.

a.) Your instructor gives the class a surprise four-question with 3-choice quiz. You have not studied the material being quizzed and therefore decide to answer the four questions by randomly guessing the answers without reading the questions or the answers.

Calculate

i) what is the probability that you have more than half of the answers correct?

ii) what do you think the class average number of correct answers will be, if an entire class answers the quiz by guessing ?

b) The incomes of senior executive in a large corporation are normally distributed with a standard deviation of RM 1200. A cutback is pending, at which time those who earn less RM 28,000 will be discharged. If such a cut represents 5% of the junior executives, what is the current mean salary of the group of senior executives?

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 103,709

Hi;

a)

b)

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.** **A number by itself is useful, but it is far more useful to know how accurate or certain that number is.**

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**anonimnystefy****Real Member**- From: Harlan's World
- Registered: 2011-05-23
- Posts: 16,015

Hi

I am actually getting 7/81 for a)i), bobbym. Are you sure you are counting only the cases with 3 and 4 correct answers?

Here lies the reader who will never open this book. He is forever dead.

Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment

The knowledge of some things as a function of age is a delta function.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 103,709

Yes, I am counting 3, and 4 correct.

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.** **A number by itself is useful, but it is far more useful to know how accurate or certain that number is.**

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**anonimnystefy****Real Member**- From: Harlan's World
- Registered: 2011-05-23
- Posts: 16,015

What do you get for 3?

Here lies the reader who will never open this book. He is forever dead.

Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment

The knowledge of some things as a function of age is a delta function.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 103,709

8 / 81

If you want to do this in M:

```
d = BinomialDistribution[4, 1/3];
Probability[x > 2, x \[Distributed] d]
```

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.** **A number by itself is useful, but it is far more useful to know how accurate or certain that number is.**

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**anonimnystefy****Real Member**- From: Harlan's World
- Registered: 2011-05-23
- Posts: 16,015

How are you getting that?

Here lies the reader who will never open this book. He is forever dead.

Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment

The knowledge of some things as a function of age is a delta function.

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**ShivamS****Member**- Registered: 2011-02-07
- Posts: 3,648

Bobbym, your code does not work by the way.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 103,709

Did you copy and paste? It works fine here.

Hi anonimnystefy, this is a straight binomial distribution problem. The distributions of statistics are even more powerful then gf's for solving problems and M knows all about them.

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**

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**anonimnystefy****Real Member**- From: Harlan's World
- Registered: 2011-05-23
- Posts: 16,015

Hi bobbym

I made the mistake in taking the Binomial[4,3] to be 3 when doing it by hand.

Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment

The knowledge of some things as a function of age is a delta function.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 103,709

But of course my young friend. If someone's answer disagrees with mine then I automatically know it is incorrect.

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**

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**ElainaVW****Member**- Registered: 2013-04-29
- Posts: 506

Keep joking with him like that and he isn't going to be your friend long. Why must you always tease the people you like?

The multivariable generating function can also be used.

The probability is 1 / 9.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 103,709

Well, I never teased you...

You are correct about the gf though.

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**

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**ElainaVW****Member**- Registered: 2013-04-29
- Posts: 506

Sure you wanted to go into that in the other thread? I mean about the artificial intelligence work. You are correct and all but young people should not be exposed to different viewpoints. It will confuse them.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 103,709

I could not disagree more. pappym and grandpappyd exposed me to much of what I know to be true now when I was much younger than him. I expect his reaction will be disbelief and dismissal same as mine was but young people can handle differing opinions easier than you think.

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**

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**ElainaVW****Member**- Registered: 2013-04-29
- Posts: 506

How will you handle the rest of the posted problems?

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 103,709

They look like homework so I will start to stress to the OP the importance of at least trying to solve a problem before asking for help.

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**

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**eigenguy****Member**- Registered: 2014-03-18
- Posts: 78

A different approach.

"Having thus refreshed ourselves in the oasis of a proof, we now turn again into the desert of definitions." - Bröcker & Jänich

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