Question

3) If X is a normal variate with mean 70 and variance 25 and if z is a standard normal variate then X = 66 implies​

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

Concept:

The normalized Gaussian distribution presented has a probability of 1 when the total of all x values is taken. The gaussian has a chance of being within one standard deviation of the mean of 0.683.

Given:

Mean = 70.

Variance = 25.

X = 66.

Find:

The standard normal variate of X = 66.

Solution:

The standard deviation = √variance

                                       = √25

                                       = 5.

z = $\frac{X - Mean}{Standard deviation}$

z = $\frac{66 - 70}{5}$

z = $\frac{-4}{5}$

z = -0.8

Hence, X = 66 implies z = -0.8.