Code all the parts in r studio. This question was posted before but it is the wrong answer so please solve it correctly. I need help on part D but you can solve all parts so I can cross-check. use z_score formula to find the percentages A machine that fills 2-liter soda bottles is supposed to fill them to the labeled amount, 2000 mL. In practice, the machine fills to a mean of 1995 mL with a standard deviation of 9 mL. Assume that the machine’s fills are normally distributed. (a) What percent of bottles will have less soda than the labeled amount? (b) What percent of bottles will have between 1990 and 2000 mL of soda? (c) The bottles are only large enough to hold 2020 mL of soda at most. What percent of bottles will overflow when filled by this machine? (d) What is the maximum amount a bottle can be filled while still being among the 20% of least filled bottles?

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Code all the parts in r studio. This question was posted before but it is the wrong answer so please solve it correctly. I need help on part D but you can solve all parts so I can cross-check. use z_score formula to find the percentages

A machine that fills 2-liter soda bottles is supposed to fill them to the labeled amount, 2000 mL. In practice, the machine fills to a mean of 1995 mL with a standard deviation of 9 mL. Assume that the machine’s fills are normally distributed.

(a) What percent of bottles will have less soda than the labeled amount?

(b) What percent of bottles will have between 1990 and 2000 mL of soda?

(c) The bottles are only large enough to hold 2020 mL of soda at most. What percent of bottles will overflow when filled by this machine?

(d) What is the maximum amount a bottle can be filled while still being among the 20% of least filled bottles?

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