Which of the following statements are true if zz is the standard normal variable?

Hint: Sketch a normal curve.

Select four (4) true statements from the list below:

• The zz-score corresponding to the 76th percentile is negative.
• If a>ba>b, then P(za)P(zb)P(za)-P(zb) cannot be positive.
• The standard normal distribution has a mean of 1 and a variance of 0.
• P(z0.5)P(z0.5) is twice P(z0.25)P(z0.25)
• P(z-3)P(z-3) is larger than P(z1)P(z1)
• If the means of two perfectly normal distributions are different, their medians could be equal.
• P(z-2)=1P(z2)P(z-2)=1-P(z2)
• P(z0)P(z0) is larger than P(z0)P(z0)
• About 99.7% of the area under the normal curve lies between z=-3z=-3 and z=3z=3.
• If a<0a<0, then P(za)>0.5P(za)>0.5