A.In Exercises 1-6, find the value of the probability of the stan-dard normal variable Z corresponding to the shaded area underthe standard normal curve.1. P(Z< 1.45)1.454. P(0.3 < Z< 1.83)0.31.835. P(-1.32 < Z< 1.74)-1.321.74B. 16. Let Z be the standard normal variable. Find the values ofz if z satisfies:a. P(Z> z) = .9678b. P(-z 400)D.20. Suppose X is a normal random variable with u =500 and0 =75. Find the value of:а. Р(Х < 750) b. Р(X > 350)с. Р(400 < X < 600)

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In Exercises 1-6, find the value of the probability of the stan- dard normal variable Z corresponding to the shaded area under the standard normal curve. 1. P(Z< 1.45) 1.45

Advanced Engineering Mathematics

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ISBN:9780470458365

Author:Erwin Kreyszig

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Chapter2: Second-order Linear Odes

Section: Chapter Questions

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Question

A.
In Exercises 1-6, find the value of the probability of the stan-
dard normal variable Z corresponding to the shaded area under
the standard normal curve.
1. P(Z< 1.45)
1.45
4. P(0.3 < Z< 1.83)
0.3
1.83
5. P(-1.32 < Z< 1.74)
-1.32
1.74
B. 16. Let Z be the standard normal variable. Find the values of
z if z satisfies:
a. P(Z> z) = .9678
b. P(-z<Z< z) = .8354
18. Suppose X is a normal random variable with
o = 20. Find the value of:
a. P(X<405)
C.
= 380 and
b. P(400 < X < 430)
с. Р(X > 400)
D.
20. Suppose X is a normal random variable with u =
500 and
0 =
75. Find the value of:
а. Р(Х < 750) b. Р(X > 350)
с. Р(400 < X < 600)

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