In Problems sketch the areas under the standard normal curve over the indicated

Question

In Problems sketch the areas under the standard normal curve over the indicated intervals and find the specified area. Round Answers to four decimal places. a)TO the left ofz=0 b) To the right of z 0 c) To the left ofz =-1.32 d) To the left of z = 0.72 e) To the right ofz -1.22 f) To the right of z 2.17 )Between z 0 and z 3.18 h) Between z =-1 .40 and z 2.03 i) Between z-125 and z-2.11 j) Between z 1.85 and z= 2.78 k) Either to the left of z=-1.75 or to the right of z = 3.00 Click Save und Submit to save and submit. Click Save All At

Explanation / Answer

(A) Pr(Z < 0) = 0.5000

(B) Pr(Z > 0) = 0.5000

(C) Pr(Z < -1.32) = 0.0934

(D) Pr(Z < 0.72) = 0.7642

(E) Pr(Z > -1.22) = 1 - Pr(Z < -1.22) = 1 - 0.1112 = 0.8888

(F) Pr(Z > 2.17) = 1 - Pr(Z < 2.17) = 1 - 0.9850 = 0.0150

(G) Pr(0 < Z < 3.18) = Pr(Z < <3.18) - Pr(Z < 0) = 0.9993 - 0.5 = 0.4993

(H) Pr(-1.40 < Z < <2.03) = Pr(Z < 2.03) - Pr(Z < -1.40) = 0.9788 - 0.0808 = 0.8981

(I) Pr(-2.11 < Z < -1.25) = Pr(Z < -1.25) - Pr(Z < -2.11) = 0.1056 - 0.0174 = 0.0882

(J) Pr(1.85 < Z < 2.78) = Pr(Z < 2.78) - Pr(Z < 1.85) = 0.9973 - 0.9678 = 0.0294

(K) Pr(Z < -1.75 or Z > 3.00) = 1- Pr(Z < 3) + Pr(Z < -1.75) = 1 - 0.9987 + 0.0401 = 0.0414

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