Posts tagged with "Statistics"

• How many different outfits can John create with 5 pairs of jeans, 12 different shirts, and 4 pairs of shoes? | Multiplication Principle Exercise

  A combinatorics problem: John has 5 pairs of jeans, 12 different shirts, and 4 pairs of shoes. How many different outfits can he create? Complete solution using the fundamental counting principle with clear explanation.

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• What conditions does a linear estimator a₁x₁ + a₂x₂ + ... + aₙxₙ need to be unbiased? | Solved exercise with proof

  Prove that the condition for an estimator of the form â₁x₁ + â₂x₂ + ... + âₙxₙ to be unbiased is that the sum of coefficients equals 1. Complete exercise with solution and detailed explanation.

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• How many different ways can you select 2 people from 20 when order matters? | Permutation Exercise

  A permutation problem: In how many different ways can 2 people be selected from a group of 20 people when the order of selection is important? Complete solution with step-by-step calculations and formula explanation.

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• How to construct the cumulative distribution function if X represents fabric imperfections with P(0)=0.41, P(1)=0.37, P(2)=0.16, P(3)=0.05, P(4)=0.01?

  The probability distribution of X, the number of imperfections found in every 10 meters of synthetic fabric, is P(0)=0.41, P(1)=0.37, P(2)=0.16, P(3)=0.05, P(4)=0.01. Construct the cumulative distribution function of X and graph it.

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