In: Statistics and Probability
1)
a) Find P(z > -3.02)
Use the Normal table and give answer using 4 decimal places.
b) Find P(-2.33 < z < 2.07)
Use the Normal table and give answer using 4 decimal places.
c) A manufacturer knows that their items have a normally
distributed length, with a mean of 17.2 inches, and standard
deviation of 2.7 inches.
If one item is chosen at random, what is the probability that it is
less than 11.2 inches long?
Solution-
a) Find P(z > -3.02) = 0.9987
b) Find P(-2.33 < z < 2.07) = 0.9709
c) A manufacturer knows that their items have a normally
distributed length, with a mean of 17.2 inches, and standard
deviation of 2.7 inches.
If one item is chosen at random, the probability that it is less
than 11.2 inches long is 0.0131