For a standard normal distribution, find:

P(-1.91 < z < 0.4)

Answers

Answer 1

For a standard normal distribution, Probability (p) =  0.6273

What is a standard normal distribution?

A normal distribution, often known as a Gaussian distribution, is a form of the continuous probability distribution for a real-valued random variable in statistics.

A normal distribution with a mean of zero and a standard deviation of one is known as the standard normal distribution. The standard normal distribution is centered at zero, and the standard deviation indicates how much a specific measurement deviates from the mean.

To calculate probability, use the usual normal distribution. Because the standard normal distribution is a distribution function, the area under the curve between two points indicates the likelihood that variables will take on a range of values. The whole area under the curve is one, or one hundred percent.

Thus, for a standard normal distribution:

Using the standard normal table


P(-1.91 < z < 0.4)

= P (z<0.4) - P(z<-1.91)

= 0.6554 - 0.0281

= 0.6273

Hence,

Probability P(-1.91 < z < 0.4) under a standard normal distribution is:
P = 0.6273

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