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- Discrete Probabilities

Still Confused?

Try reviewing these fundamentals first.

Still Confused?

Try reviewing these fundamentals first.

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Get Started Now- Intro Lesson8:30
- Lesson: 1a2:41
- Lesson: 1b5:16
- Lesson: 26:11
- Lesson: 3a2:14
- Lesson: 3b3:58
- Lesson: 3c4:04

Basic concepts: Binomial distribution, Probability distribution - histogram, mean, variance & standard deviation,

- Introduction$P(x)={_n}C_x \;P^x(1-p)^{n-x}$

*$n$: number of trials*

$x$: number of success in n trials

$p$: probability of success in each trial

$P(x)$: probability of getting $x$ successes (out of $n$ trials)

$\cdot$ binomialpdf $(n,p,x)$

$\cdot$ $\mu=np$

$\cdot$ $\sigma^2=np(1-p)$

$\cdot$ $\sigma= \sqrt{np(1-p)}$

**Range Rule of Thumb (Usual VS. Unusual):**

$\cdot$ maximum usual value $= \mu+2\sigma$

$\cdot$ minimum usual value $= \mu-2\sigma$ - 1.
**Finding the Mean and Standard Deviation**

If you roll a fair die 12 times,a)How many times do you expect to roll a 6?b)What is the standard deviation of rolling a 6? - 2.
**Dealing with a Non-Integer Mean**

How many times would you expect to roll a 6, if you rolled the die**10**times? - 3.
**Interpreting Mean and Standard Deviation of Binomial**

10% of accidents while rock climbing are due to rockfall. In Squamish there are 280 climbing accidents a year.a)What is the expected number of climbing accidents in Squamish due to rockfall?b)What is the standard deviation of climbing accidents in Squamish due to rockfall?c)If there were 34 accidents in Squamish due to rockfall, would that be usual or unusual?

6.

Discrete Probabilities

6.1

Probability distribution - histogram, mean, variance & standard deviation

6.2

Binomial distribution

6.3

Mean and standard deviation of binomial distribution

6.4

Poisson distribution

6.5

Geometric distribution

6.6

Negative binomial distribution

6.7

Hypergeometric distribution

6.8

Properties of expectation

We have over 150 practice questions in University Statistics for you to master.

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