Answer to Question #339550 in Statistics and Probability for Ally

Question

Show complete solutions for each item. 

Locate the following percentile under the normal curve

Find the nearest area and the z-score.

Percentile 

a. 𝑃₇₆   

b. 𝑃₅₄   

c. 𝑃₃₄   

d. 𝑃₂₅   

e. 𝑃₉₄   

f. 𝑃₈₉   

g. 𝑃₉₀   

h. 𝑃₆₈   

i. 𝑃₁₅   

j. 𝑃₄₂   

 

Answer 1

a.

$$P(Z<z)=0.76$$

$$z=0.7063$$

b.

$$P(Z<z)=0.54$$

$$z=0.1004$$

c.

$$P(Z<z)=0.34$$

$$z=-0.4125$$

d.

$$P(Z<z)=0.25$$

$$z=-0.6745$$

e.

$$P(Z<z)=0.94$$

$$z=1.5548$$

f.

$$P(Z<z)=0.89$$

$$z=1.2265$$

g.

$$P(Z<z)=0.90$$

$$z=1.2816$$

h.

$$P(Z<z)=0.68$$

$$z=0.4677$$

i.

$$P(Z<z)=0.15$$

$$z=-1.0364$$

j.

$$P(Z<z)=0.42$$

$$z=-0.2019$$