Given/Gegee: Z ~ N(0, 1). Calculate/Bereken:
(0.2< Z<1.5)
To calculate P(0.2 < Z < 1.5), we need to find the area under the standard normal curve between Z = 0.2 and Z = 1.5.
Using a standard normal table or calculator, we find:
P(Z < 1.5) ≈ 0.9332
P(Z < 0.2) ≈ 0.5793
So, P(0.2 < Z < 1.5) = P(Z < 1.5) - P(Z < 0.2) ≈ 0.9332 - 0.5793 ≈ 0.3539
Therefore, the probability that Z lies between 0.2 and 1.5 is approximately 0.3539.