1) A rectangular prism measures 10 cm by 10 cm by 5 cm. When we increase each of its dimensions by the same amount, its volume is 1008 cm ^ 3. What are the dimensions of the new prism?

2) The amount of trials that are needed in order to teach a dog to sit using positive reinforcement distributes normally in the population with µ=32 trials and σ=10 trials. What is the percentage of dogs that need more than 45 trials to learn to sit?

3) SAT scores distribute normally in the population with µ=500 and σ=100.

a. What is the probability of randomly selecting a score below 430?

b. What scores form the boundaries of the middle 95% of the distribution?

c. How many people (in percentages) receive a grade between 600 to 650?

d. Which score is the 90th percentile?

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