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Lecture5

# Lecture5 - ECE 340 Sequential experiments Lecture 5 Jean...

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ECE 340 Sequential experiments Lecture 5 Jean Liu Email: [email protected]

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Reading • This class: Section 2.6 • Next class: Section 3.1 & 3.2
outline • Sequential experiments – Sequences of independent experiment • Binomial probability law • Multinomial probability law • Geometric probability law – Sequences of dependent experiments • Examples

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Sequential experiments Often the main experiment consists of a sequence of sub-experiments. EX: Toss coin n times EX: A project contains N steps,
Sequences of independent experiment • Paint a painting of the sun • 1) select the canvas {small, medium, large} • 2) select the brush {fan, round, flat, filbert} • 3) select the color {red, pink, yellow } • Sample space: • {small, medium, Large} X {fan, round, flat, filbert} X {red, pink, yellow}

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P [ Large canvas Fan brush Yellow ] Assume sub-experiments are independent General form: P[A1 A2 A3…An] = P[A1] P[A2]…P[An] P[ L F Y]=P[L] P[F] P[Y]
Example1 Sequences of independent experiment • Flip coin 3 times experiment • Each sub-experiment is independent. The probability of heads is ρ • Sample Space:{ {H,T } X {H,T} X {H,T} }

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Lecture5 - ECE 340 Sequential experiments Lecture 5 Jean...

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