The value of z if z satisfies P(Z < z) = 0.0643 is: z = -1.52
How to use the standard normal distribution table?
A standard normal distribution table, also known as a z-score table, provides the area to the left of a given z-score.
It is used to find the probability that a standard normal random variable will be less than a specific value.
P(Z < z) = 1 - P(Z > z)
= 1 - 2.52
= -1.52
Using a standard normal distribution table, we can also see that the z-score for the given p-value of 0.0643 is: z = -1.52