Z = 1.5. The mean and variance of the corresponding X are 1.3 and 5.6. Compute X:

To compute the value of X, we need to use the formula for standardizing a random variable.

The formula for standardizing a random variable X is:
Z = (X - μ) / σ

Where:
- Z is the standardized value of X.
- X is the random variable we want to compute.
- μ is the mean of X.
- σ is the standard deviation of X.

In this case, we are given Z = 1.5, μ = 1.3, and variance = 5.6.

The standard deviation is the square root of the variance. So, we first need to find the standard deviation (σ):
σ = √(variance) = √(5.6) ≈ 2.37

Now, we can substitute the given values into the formula:
1.5 = (X - 1.3) / 2.37

To solve for X, we can rearrange the equation:
1.5 * 2.37 = X - 1.3

3.555 = X - 1.3

Adding 1.3 to both sides of the equation:
3.555 + 1.3 = X

X ≈ 4.855

So, the value of X is approximately 4.855.