The weighted bars of soap made in a factory are normally distributed. Last week 6.67 bars weighted less than 90.50 grams and 4 percent weighed more than XXXXXXXXXXgrams. Find the mean and variance of...

The weighted bars of soap made in a factory are normally distributed. Last week 6.67 bars weighted less than 90.50 grams and 4 percent weighed more than 100.25 grams. Find the mean and variance of the distribution of weights and the percentage of bars produced, which would be expected to weigh less than 88 grams. If the variance of the weights distribution was reduced by one-third, what percentage of next week`s production would you expect to weigh less than 88 grams, assuming the mean is not changed?