Determine the total area under the standard normal ourve in parts (a)through (c)

Question

Determine the total area under the standard normal ourve in parts (a)through (c) below. G Tables of Areas under the Normal Curve Click the icon to view a table of areas under the normal curve. (a) Find the area under the normal ourva to the left of z=-2 plus the area under the normal ourvo to the right of Z =2. The combined area is Round to four decimal places as needed.) (b) Find the area under the normal ourve to the left of z"-1.55 plus the area under the normal ourve to the nght of z-2.55 The combined ares is Round to four decimal places as needed.) (c) Find the area under the normal curve to the left of z=-0.26 plus the area under the normal curve to the right of z 1.40. The combined area is Round to four decimal places as neaded.) TABLE V 00212 0.1557 0.1305 0.1334 411302 0.1273 01251 e.c230 at210 0.1190 0.1170 - 0 1814 788 01762 017 1 05 03635 01611 0.3894 04522 043 435 0426 04080 179 0627 06736 6 6712 0880 09332 9345 0.9357 09570 032 03 418 09 944 9463 93 08 09812 09836 0 9962 Print Done Enter your answer in each of the answer boxes.

Explanation / Answer

Solution :

Using given z tabl,

a) P(z < -2) = 0.0228

P(z > 2) = 1 - P(z < 2) = 1 - 0.9772 = 0.0228

The combined area is = 0.0228 + 0.0228 = 0.0456

b)

P(z < -1.55) = 0.0606

P(z > 2.55) = 1 - P(z < 2.55) = 1 - 0.9946 = 0.0054

The combined area is = 0.0606 + 0.0054 = 0.066

c)

P(z < -0.26) = 0.3974

P(z > 1.40) = 1 - P(z < 1.40) = 1 - 0.9192 = 0.0808

The combined area is = 0.3974 + 0.0808 = 0.4782

Related Questions

Navigate

• Browse (All)
• Browse D
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.