# Probability and Statistics for Engineering and the Sciences (with Student Suite Online)

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Stat 321 – Day 4 Probability (2.1)

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Reminders Lab 2 due Friday Will discuss similar issues in lecture Ask questions in class/office hours/email HW 1 due Tuesday Can download data from web Ch. 1 questions?
Example 3: More Matching Heights Number of siblings Last haircut cost Change in pockets Guesses of my age 1 2 3 4 5

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Excel? Column1 Mean 22.20533 Standard  Error 1.213832 Median 20.855 Mode #N/A Standard  Deviation 6.648431 Sample  Variance 44.20163 Kurtosis 5.085073 Skewness 1.85294 Range 32.75 Minimum 13.71 Maximum 46.46 Sum 666.16 Count 30
Example 1: Monty Hall Problem

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Definition: Probability We will consider the probability of an outcome to be the long-run proportion (relative frequency) of times the outcome occurs if the experiment is repeated over and over under identical conditions. Determining probabilities Simulation Exact analysis…
Assigning Probabilities Two rules: For any event A, P (A) > 0 P( S ) = 1 Thus, 0 < P(A) < 1 for any event A

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Solution to Monty Hall Problem Reveal Door 1 Reveal
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