1.The lengths of the sardines received by a certain cannery are normally distributed with mean 4.62 inches and a standard deviation 0.23 inch. What percentage of all these sardines is between 4.35 and 4.85 inches long?

2.Suppose that the weight (X) in pounds, of a 40-year-old man is a normal random variable with standard deviation = 20 pounds. If 5% of this population is heavier than 214 pounds what is the mean of this distribution?

3.Find the probability of :

a.z-score is greater than -1.58

b.z-score is less than 2.19

c.z-score between -0.89 and 1.06