The mean of X can be calculated by multiplying each value of X by its frequency, summing these products, and then dividing by the total number of observations.

In this case, the mean (μ) would be:

μ = (1*1330 + 0*1170) / 2500 = 0.532

The variance (σ²) of X can be calculated by subtracting the square of the mean from the mean of the squares. The mean of the squares is calculated similarly to the mean, but you square each value of X before multiplying by its frequency.

So, the mean of the squares would be:

E(X²) = (1²*1330 + 0²*1170) / 2500 = 0.532

Then, the variance would be:

σ² = E(X²) - μ² = 0.532 - 0.532² = 0.249

Finally, the standard deviation (σ) is the square root of the variance:

σ = √σ² = √0.249 = 0.499

So, the mean and standard deviation of X are 0.532 and 0.499, respectively. Therefore, the correct answer is "0.532; 0.499".

Question

The mean of X can be calculated by multiplying each value of X by its frequency, summing these products, and then dividing by the total number of observations.

In this case, the mean (μ) would be:

μ = (1*1330 + 0*1170) / 2500 = 0.532

The variance (σ²) of X can be calculated by subtracting the square of the mean from the mean of the squares. The mean of the squares is calculated similarly to the mean, but you square each value of X before multiplying by its frequency.

So, the mean of the squares would be:

E(X²) = (1²*1330 + 0²*1170) / 2500 = 0.532

Then, the variance would be:

σ² = E(X²) - μ² = 0.532 - 0.532² = 0.249

Finally, the standard deviation (σ) is the square root of the variance:

σ = √σ² = √0.249 = 0.499

So, the mean and standard deviation of X are 0.532 and 0.499, respectively. Therefore, the correct answer is "0.532; 0.499".

Knowee AI · Accepted Answer