Use the standard normal table to find the z-score that corresponds to the cumula

Question

Use the standard normal table to find the z-score that corresponds to the cumulative area 0.7157.

If the area is not in the table, use the entry closest to the area. If the area is halfway between two entries, use the z-score halfway between the corresponding z-scores.

Use the standard normal table to find the z-score that corresponds to the cumulative area 0.7157. If the area is not in the table, use the entry dlosest to the area. If the area is halfway between two entries, use the z-score halfway between the Click to view page 1 of the standard normal table. Cl to view page 2 of the standard normal tabl Type an integer or decimal rounded to three decimal places as needed.)

Explanation / Answer

Solution :
P(-z < Z < z) = 0.7157
P(Z < z) - P(Z < z) = 0.7157
2P(Z < z) - 1 = 0.7157
2P(Z < z) = 1 + 0.7157
2P(Z < z) = 1.7157
P(Z < z) = 1.7157  / 2
P(Z < z) = 0.85785  

P(Z < z) = 0.85785       Using z table,

P(Z < 1.071) = 0.85785   
z = 1.071

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