Question

b. P(-1.69 SZ SZ) = 0.9545 C. P(Z > 20) = 0.0048 d. P(Z, SZS 2.00) = 0.1359 e. P(Z > Z) = 0.9713 f. PC-Z, SZSZ) = 0.2358

Answer 1

Solution:

b)

P( -1.69 $\leq$ Z $\leq$ z_{0 )} = 0.9545

P( Z $\leq$ z0 ) = 0.9545 + P( Z $\leq$ -1.69 )

P( Z $\leq$ z0 ) = 0.9545 + 0.025

P( Z $\leq$ 2.044 ) =0.9795

z0 = 2.044

c)

P( Z < z₀ ) = 0.9952

P( Z < 2.59 ) = 0.9952

z₀ = 2.59

d)

P( Z < z₀ ) = 0.8413

P( Z < 1) = 0.8413

z₀ = 1

e)

P( Z < z₀ ) = 0.0287

z₀ = -1.9

f)

P( Z < z₀ ) = 0.6179

z₀ = -0.87

and

z₀ = 0.87