Which of the following statements are true if z z is the standard normal variable? Hint: Sketch a normal curve. Select four (4) true statements from the list below: • P ( z ≥ -2 ) P ( z ≥ -2 ) is larger than P ( z ≤ 1 ) P ( z ≤ 1 ) • P ( z ≤ 2 ) P ( z ≤ 2 ) is twice P ( z ≤ 1 ) P ( z ≤ 1 ) • If a < 0 a < 0 , then P ( z ≥ a ) > 0.5 P ( z ≥ a ) > 0.5 • The z z -score corresponding to the 73rd percentile is negative. • The standard normal distribution has a mean of 1 and a variance of 0. • About 99.7% of the area under the normal curve lies between z = -3 z = -3 and z = 3 z = 3 . • P ( z ≥ 0 ) P ( z ≥ 0 ) is larger than P ( z ≤ 0 ) P ( z ≤ 0 ) • If a > b a > b , then P ( z ≥ a ) − P ( z ≥ b ) P ( z ≥ a ) - P ( z ≥ b ) cannot be positive. • P ( z ≥ -1.5 ) = 1 − P ( z ≤ 1.5 ) P ( z ≥ -1.5 ) = 1 - P ( z ≤ 1.5 ) • If the means of two perfectly normal distributions are different, their medians could be equal.