00:01
Hi, i'm david and i'm here to help you answer your question.
00:03
Now let me pick up your question here.
00:06
In the question here, we are going to discuss about the central limit theorem.
00:12
And it says that if we have the n greater equal to the 30, then the sum of mean x -par will be approximately to the normal, where we have the mean of the x -par equal to the mean in the population, standard division x -par equal to the sigma -over -square to the n.
00:29
In the question here we have the mean equal to the 200, standard division equal to the 50, and the n equal to 100.
00:38
Now in the question a, once you find expected value of the x bar, it will equal to the mean of the population equal to the 200.
00:50
For the question b, want to find the standard division of the x bar, so it's equal to the sigma of the x bar, and by the formula equal to the the sigma over square to the n and equal to the 50 divided by the square root of the 100 equal to the 50 over 10 and equal to the 5.
01:11
For the question c, show the summary distribution of the x...