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In a standard normal distribution, what is the area under the graph for z>0? Explain.

Question

In a standard normal distribution, what is the area under the graph for z>0? Explain.

 

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Step 1

Normal distribution:

A random variable X is said to follow a normal distribution if the probability distribution is as follows:

1(X-u
1
f(X)2
Where
Mean of normal variable X
aStandard deviation of normal variable X
T = 3.1415..
e 2.71828
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1(X-u 1 f(X)2 Where Mean of normal variable X aStandard deviation of normal variable X T = 3.1415.. e 2.71828

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Step 2

Standard Normal Distribution:

A random variable z is said to be a standard normal variable if z follows normal distribution with mean µ = 0 and variance σ2 =1. The formula for the probability distribution of z is,

1
f(2)= 2T
2
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1 f(2)= 2T 2

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Step 3

Area under the graph for z >0:

The standard normal distribution is symmetric about its mean, z = 0. Also, the total area under the standard normal probability distribution equals 1. Taken together, these two factors imply that the areas ...

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