What is the probability that a value falls in the interval μ ± 2σ, that computes the probability P (-2 < Z < 2). Round to four decimals and use leading zeros

0.9544

Step-by-step explanation:

P (-2 < Z < 2) means that Z has mean 0 and standard deviation 2.

P (-2 < Z < 2) = F (2) - F (-2)

Using the Z - table,

F (2) = 0.9772

and F (-2) = 0.0228

Thus,

P (-2 < Z < 2) = 0.9772 - 0.0228 = 0.9544

This means that data within two standard deviation is 95%.