The value of the cumulative standardized normal distribution at z is 0.8770. The value of z is?

Solution:

The cumulative standardized normal distribution displaying the area of 0.8770 under the curve is shown below. The area under the curve is depicted along with the z value which corresponds with the given area. The z value is obtained from the standardized normal distribution tables.

The area of 0.8770 signifies that the probability of the random variable of the desired value is 87.70 percent. In other words, the probability that the desired value of the variable which is being measured will lie within 1.16σ (1.16 deviations) from the mean. Therefore

z = 1.16

The value of the cumulative standardized normal distribution at z is 0.8770. The value of z is?

Summary:

The value of the cumulative standardized normal distribution at z is 0.8770 and the value of z = 1.16