The correct answer is (X+2)/5.

Here's why:

The standard normal variate (Z) of a normally distributed random variable (X) is given by the formula:

Z = (X - μ) / σ

where μ is the mean and σ is the standard deviation.

In this case, X is normally distributed with a mean (μ) of -2 and a variance of 25. The standard deviation (σ) is the square root of the variance, so σ = √25 = 5.

Substituting these values into the formula gives:

Z = (X - (-2)) / 5
= (X + 2) / 5

So, the standard normal variate is (X + 2) / 5.

Question

The correct answer is (X+2)/5.

Here's why:

The standard normal variate (Z) of a normally distributed random variable (X) is given by the formula:

Z = (X - μ) / σ

where μ is the mean and σ is the standard deviation.

In this case, X is normally distributed with a mean (μ) of -2 and a variance of 25. The standard deviation (σ) is the square root of the variance, so σ = √25 = 5.

Substituting these values into the formula gives:

Z = (X - (-2)) / 5
   = (X + 2) / 5

So, the standard normal variate is (X + 2) / 5.

Knowee AI · Accepted Answer

The correct answer is (X+2)/5.

Here's why:

The standard normal variate (Z) of a normally distributed random variable (X) is given by the formula:

Z = (X - μ) / σ

where μ is the mean and σ is the standard deviation.

In this case, X is normally distributed with a mean (μ) of -2 and a variance of 25. The standard deviation (σ) is the square root of the variance, so σ = √25 = 5.

Substituting these values into the formula gives:

Z = (X - (-2)) / 5
   = (X + 2) / 5

So, the standard normal variate is (X + 2) / 5.

If X is normally distributed with mean -2 and variance 25 then the standard normal variate is ans. (X-25)/2 (X+2)/5 none of these (X-2)/5

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