Stat problems for Friday, Feb 12

  1. Compute the following probabilities for a random variable $Z$ that has a standard normal distribution.
    1. $P(Z < 2.1)$
    2. $P(Z > 2.1)$
    3. $P(0.5 < Z < 2.1)$
  2. Suppose that $X$ is normally distributed with a mean of 25 and a standard deviation of 4. Compute
    1. $P(X < 21)$
    2. $P(X > 21)$
    3. $P(21 < X < 26)$