Given/Gegee: Z ~ N ( 0 , 1); Calculate: / Bereken:

Question

2.1 P(- 2.58 < Z < 2.52)

2.2 The value of k in. / Die waarde van k in. P(Z < k) = 0.9881

2.3 P(- 2.18 < Z < -1.82)

2.4 The value of k in. / Die waarde van k in. P(Z > k) = 0.9616

2.5 P(Z>1.82)

2.6 P(Z< -1.68)

2.7 P(0< Z<1.59)

2.8 P(Z > k)=0.5319. Find k

2.9 P(Z > k)=0.6331. Find k

2.10 P(Z< k)=0.7517. Find k

2.11 The value of k in : / Die waarde van k in: P(Z > k) = 0.0392

2.12 P(Z > k)=0.7123 find / bepaal k

2.13 P(Z< k)=0.8810 find k

2.14 P(Z> a)=0.7422 find / bepaal a

2.15 The value of k in: / Die waarde van k in: P( Z > k) = 0.9887

2.16 The value of k in: / Die waarde van k in: P( Z < k) = 0.9394

2.17 The value of k in : / Die waarde van k in: P( Z > k) = 0.0823

2.18 The value of k in: / Die waarde van k in: P( Z < k) = 0.0618

Answer 1

2.1 P(-2.58 < Z < 2.52) = P(Z < 2.52) - P(Z < -2.58) = 0.9944 - 0.0047 = 0.9897

2.2 The value of k in P(Z < k) = 0.9881 is k = 2.33

2.3 P(-2.18 < Z < -1.82) = P(Z < -1.82) - P(Z < -2.18) = 0.0344 - 0.0158 = 0.0186

2.4 The value of k in P(Z > k) = 0.9616 is k = -1.75

2.5 P(Z > 1.82) = 1 - P(Z < 1.82) = 1 - 0.9656 = 0.0344

2.6 P(Z < -1.68) = 0.0465

2.7 P(0 < Z < 1.59) = P(Z < 1.59) - P(Z < 0) = 0.9441 - 0.5 = 0.4441

2.8 P(Z > k) = 0.5319. Find k: k = -0.11

2.9 P(Z > k) = 0.6331. Find k: k = 0.34

2.10 P(Z < k) = 0.7517. Find k: k = 0.67

2.11 The value of k in: P(Z > k) = 0.0392 is k = 2.06

2.12 P(Z > k) = 0.7123. Find k: k = -0.6

2.13 P(Z < k) = 0.8810. Find k: k = 1.18

2.14 P(Z > a) = 0.7422. Find a: a = 0.63

2.15 The value of k in: P(Z > k) = 0.9887 is k = -2.40

2.16 The value of k in: P(Z < k) = 0.9394 is k = 1.56

2.17 The value of k in: P(Z > k) = 0.0823 is k = -1.39

2.18 The value of k in: P(Z < k) = 0.0618 is k = -1.55