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Normal Probability Distribution

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    Ch 6-7 Prob & Stats
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  • The weight of horses is normally distributed with a mean of 1850 lbs and a standard deviation of 22 lbs. What is the probability a horse will weigh more than 1900 lbs.?
    1.16%
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  • Find the z-score for normally distributed data with a mean of 22.4, a standard deviation of 3.8, and an x-value of 15.3.
    -1.87
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  • If the z-score of normally distributed data is 1.28, the mean is 100, and the standard deviation is 18, what is the x-value?
    123.04
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  • Find P(x > 11) if the mean is 8 and the standard deviation is 1.2 for normally distributed data.
    .0062
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  • You are going to play a coin flipping game that costs $2 to play. You flip 2 coins. If you win $1.50 for each heads you flip, but nothing for tails, what is your expected value? Is this game fair?
    Expected value = $1.50. You should NOT play this game because on average you'll lose $0.50 each time you play.
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