According to the tests publishers (www.act.org), scores on the ACT college entrance examination for students graduating in

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According to the test’s publishers (www.act.org), scores on the ACT college entrance examination for students graduating in 2001 were normally distributed, with μ = 21 and σ = 5 (scores can range from 1–36).

a. What is the probability of having a score greater than 30?

b. What is the probability of having a score greater than 20?

c. What is the probability of having a score less than 17?

d. What is the probability of having a score less than 23?

e. What is the probability of having a score between 18 and 25?

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