Question

A bottle filling machine fills, on average, 20,000 bottles a day with a standard deviation of 2000. If we
assume that the production is normally distributed and that a year comprises 260 working days, calculate the
approximate number of working days that: (Draw the distribution)

Answer 1

I think the distribution would look something like that, with the average of 20000 in the center of the distribution, most production days fall around there. As the number of bottles increases or decreases away from the average, the number of days where that many bottles are filled goes down.
I'm not sure about what sort of calculations you're meant to do. Is there more to the question that we aren't seeing here?

Answer 2

Alr ima try my best here

Answer 3

We already have our normal distribution:

Answer 4

Now we have:

Answer 5

Now we need to determine P (x < 18,000):

Answer 6

Now We need to determine the approximate number of days on which less than 18,000 bottles are filled:

Answer 7

So our answer is 41 days