Question

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

1.6 P(-2.89< Z<-1.05)

1.7 P(Z< 3.2)

Answer 1

[AI-generated answer — Bot GPT 3.5]

1.6 P(-2.89 < Z < -1.05) can be calculated by finding the area under the standard normal curve between -2.89 and -1.05.

Using a standard normal distribution table or a calculator, we can find:
P(Z < -1.05) = 0.1469
P(Z < -2.89) = 0.0019

Therefore, P(-2.89 < Z < -1.05) = P(Z < -1.05) - P(Z < -2.89) = 0.1469 - 0.0019 = 0.1450

1.7 P(Z < 3.2) can be calculated by finding the area under the standard normal curve to the left of 3.2.

Using a standard normal distribution table or a calculator, we can find:
P(Z < 3.2) = 0.9993