Question

In: Statistics and Probability

1) a) Find P(z > -3.02) Use the Normal table and give answer using 4 decimal...

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?

Solutions

Expert Solution

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


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