Please answer True or False for the following:

1) Covariance reveals neither the sign nor strength of a relationship.

2) In a large portfolio, the standard deviation is equal to the sum of the weighted variances.

3) If the covariance between two assets equals zero, their correlation on must be zero.

4) If the correlation between two assets equals zero, the portfolio's standard deviation is a weighted average of the assets' standard deviations.

5) It is fair to assume that a negative correlation between two assets produces a portfolio standard deviation equal to zero.