# Normal Distribution Probability

1. The scores of the GRE exam are transformed so they have a mean of 500 and a standard deviation of 100. The scores are known to be normally distributed. What is the percentage of students that score below 750?

2. In 10 Bernoulli trials, 130 outcomes contain exactly three successes. Is this a true statement?

3.The probability is about 0.00024 of being dealt four of a kind in a hand of five-card poker. In 10,000 hands of five card poker, roughly 2.4 times How many would you expect to be dealt?

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#### Solution Preview

1. Mean = 500 , Std Deviation = 100

Z score = (x-Mean)/ Std Deviation = 750 - 500/ 100 or ...

$2.19