47. Find the z value to the left of the mean so thata. 98.87% of the area under the distribution curve liesb. 82.12% of the area under the distribution curve liesc, 60.64% of the area under the distribution curve liesto the right of it.to the right of it.to the right of it.

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Asked Mar 4, 2019
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47. Find the z value to the left of the mean so that
a. 98.87% of the area under the distribution curve lies
b. 82.12% of the area under the distribution curve lies
c, 60.64% of the area under the distribution curve lies
to the right of it.
to the right of it.
to the right of it.
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47. Find the z value to the left of the mean so that a. 98.87% of the area under the distribution curve lies b. 82.12% of the area under the distribution curve lies c, 60.64% of the area under the distribution curve lies to the right of it. to the right of it. to the right of it.

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Expert Answer

Step 1

The normal distribution:

A continuous random variable X is said to follow normal distribution if the probability density function of X is,

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Step 2

The standard normal distribution:

A standard normal variable, the value of which is usually denoted by z, is a normal random variable with mean μ = 0 and standard deviation σ = 1.

Step 3

Calculation for part (a):

The z value to the left of the mean, such that 98.87% or 0.9887 proportion of the ar...

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