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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.
Find P(x > 11) if the mean is 8 and the standard deviation is 1.2 for normally distributed data.
.0062
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
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
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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