Probability and Statistics with Calculus

Jila, 9. 8. 2025

Some Probability Density Curves

Obsah

  1. Chapter 3
    1. Binomial(x,n,10/n) as n-> infinity
    2. Poisson Distribution for Multiple Parameters for x=0,1,2,,...,40
    3. HyperGeometric
    4. Negative Binomial
  2. Chapter 4
    1. Height of a population
    2. Normal-Curves
    3. Log-Normal-Curves
    4. Weibull Curves
  3. Chapter 5
    1. Box of candy 24xy
    2. Joint Gaussian Distributions (X,Y) where X~N(0,1) and Y~N(0,1) are independent
    3. Discrete Joint Probability (X: # Tablets, Y:# Laptops
    4. Discrete Joint Probability (X: # Defective, Y:# Not Properly Packed
  4. Chapter 6
    1. The t-distribution
  5. Chapter 9
    1. Power of a Hypothesis Test: H_0: p=0.25, n=20 rejects if X>=6

1.

Chapter 3

  • 1. Binomial(x,n,10/n) as n-> infinity
  • 2. Poisson Distribution for Multiple Parameters for x=0,1,2,,...,40
  • 3. HyperGeometric
  • 4. Negative Binomial

1.1.

Binomial(x,n,10/n) as n-> infinity

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1.2.

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1.3.

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1.4.

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2.

Chapter 4

  • 1. Height of a population
  • 2. Normal-Curves
  • 3. Log-Normal-Curves
  • 4. Weibull Curves

2.1.

Height of a population

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2.2.

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2.3.

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2.4.

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3.

Chapter 5

  • 1. Box of candy 24xy
  • 2. Joint Gaussian Distributions (X,Y) where X~N(0,1) and Y~N(0,1) are independent
  • 3. Discrete Joint Probability (X: # Tablets, Y:# Laptops
  • 4. Discrete Joint Probability (X: # Defective, Y:# Not Properly Packed

3.1.

Box of candy 24xy

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3.2.

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3.3.

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3.4.

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4.

Chapter 6

  • 1. The t-distribution

4.1.

The t-distribution

The t-distribution
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5.

Chapter 9

Hypotheses Testing

  • 1. Power of a Hypothesis Test: H_0: p=0.25, n=20 rejects if X>=6

5.1.

Power of a Hypothesis Test: H_0: p=0.25, n=20 rejects if X>=6

– Jila

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