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(a) the standard normal curve is graphed below. shade the region under …

Question

(a) the standard normal curve is graphed below. shade the region under the standard normal curve to the left of z = - 0.50. (b) use this table or the aleks calculator to find the area under the standard normal curve to the left of z = - 0.50. give your answer to four decimal places (for example, 0.1234).

Explanation:

Step1: Use z - table lookup

We look up the value of \(z=- 0.50\) in the standard - normal distribution table. The standard - normal distribution table gives the cumulative probability \(P(Z\leq z)\) for a given \(z\) - score.

Step2: Find the area

Looking up \(z =-0.50\) in the standard - normal table, we find that the area to the left of \(z=-0.50\) is \(0.3085\).

Answer:

\(0.3085\)