Binomial distribution

0.0(0)
learnLearn
examPractice Test
spaced repetitionSpaced Repetition
heart puzzleMatch
flashcardsFlashcards
Card Sorting

1/21

Study Analytics
Name
Mastery
Learn
Test
Matching
Spaced

No study sessions yet.

22 Terms

1
New cards

Binompdf

Use for exact probabilities (ex. P(x=5)

2
New cards

Binomcdf

Use for more than, less than, at least, or at most questions

3
New cards

1-binomcdf

Use for “at least” probabilities (ex. P(x≥4); x=3 on Calc)

  • Where “x” is AT LEAST a number; not for “no more than” problems

4
New cards

Binomial distribution

B - Binomial; only TWO possible outcomes “success” or failure

I - Independent; the observations are independent; knowing the result of one observation tells you nothing about the others

N - Number; there is a fixed number “n” observations

S - Same probability; the probability of success “p” is the same for each observation

5
New cards

For binomial distribution, we will look at the probability of getting an event with:

n - total number of trials

x - number of successes

p - probability of success

(1-p) - probability of failure

This is the binomial setting

6
New cards

If x is a binomial random variable, it is said to have a binomial distribution, and is denoted as

B(n,p)

7
New cards

If data is produced in a binomial setting, then random variable x is called a

Binomial Random Variable

8
New cards

Binomial coefficient (also called a combination)

The number of ways to arrange x successes in n observations (read as “n choose x)

Math → PRB → 3 nCr

<p>The number of ways to arrange x successes in n observations (read as “n choose x) </p><p>Math → PRB → 3 nCr </p>
9
New cards

Means are NEVER

Percentages

10
New cards

Population (parameter) mean

µ

11
New cards

Population (parameter) standard deviation

sigma

12
New cards

Population (parameter) proportion

p

13
New cards

Population (parameter) SD of proportion

<p></p>
14
New cards

Sample (statistic) mean

knowt flashcard image
15
New cards

Sample (statistic) standard deviation

knowt flashcard image
16
New cards

Sample (statistic) proportion

knowt flashcard image
17
New cards

Sample (statistic) SD of proportion

knowt flashcard image
18
New cards

Sample Distribution truths

  1. The distribution is normal regardless of the shape of the population distribution as long as the sample size, n, is large enough

  2. The distribution is normal regardless of the sample size as long as the population distribution is normal

  3. The distribution’s mean is the same as the population mean

  4. The distribution’s standard deviation is smaller than the population’s standard deviation

19
New cards

Geometric Distribution

  1. Only Two outcomes - “success” or failure

  2. The probability of success, p, is the same for each observation (consistent probability)

  3. n observations are independent

  4. TRIALS REPEAT UNTIL YOU GET A SUCCESS

Bins WITHOUT the s - Bint

20
New cards

geometcdf

Use for more than, less than, at least, or at most questions (geometric)

21
New cards

geometpdf

Use for exact probabilities (ex. P(x=5) (geometric)

22
New cards

1-geometcdf

For “at least” problems (geometric)