The central limit theorem is important in statistics because it allows us to use a Normal distribution to find probabilities involving the sample mean if the population size is reasonably large (whether the population distribution is known or not).a. population is Normally distributed (for any sample size). b. sample size is reasonably large (for any population)c. population is Normally distributed and the sample size is reasonably large. d. population is Normally distributed and the population standard deviation is known (for any sample size).

a, b, c, d are correct.

step-by-step explanation:

we have g(x) = 3 and are required to find which option is a translation of g(x).

now, 'translation' is a transformation which means to shift the function in any direction and the general form of translation is g(x) + k, where k is any real number.

so, according to the options we see that all are correct as they satisfy the general form of translation.

also, it can be seen from the graph below that the function g(x) = 3 is shifted from its position in all the four options.

that one look

step-by-step explanation: