Given/Gegee: Z ~ N(0, 1). Calculate/Bereken:
P(- 2.15 < Z < 1.52)
To calculate this probability, we need to find the area under the standard normal curve between Z=-2.15 and Z=1.52.
Using a standard normal distribution table or a calculator, we can find the area corresponding to Z=1.52 as 0.93574 and the area corresponding to Z=-2.15 as 0.01577.
Therefore, P(-2.15 < Z < 1.52) = P(Z < 1.52) - P(Z < -2.15)
= 0.93574 - 0.01577
= 0.91997
So, the probability that Z lies between -2.15 and 1.52 is approximately 0.91997.