2. [5/9 Points] DETAILS PREVIOUS ANSWERS DIEZSTAT4 5.3.503.XP. MY NOTES ASK YOUR TEACHER Suppose the area that can be painted using a single can of spray paint is slightly variable and follows a nearly normal distribution with a mean of 23 square feet and a standard deviation of 3 square feet. (a) What is the probability that the area covered by a can of spray paint is more than 30 square feet? (Round your answer to four decimal places.) .2514 ,/ (b) Suppose you want to spray paint an area of 750 square feet using 25 cans of spray paint. On average, how many square feet must each can be able to cover to spray paint all 750 square feet? (Enter your answer as a whole number.) l:l (c) What is the probability that you can cover a 750 square feet area using 25 cans of spray paint? (Round your answer to four decimal places.) :1: (d) If the area covered by a can of spray paint had a slightly skewed distribution, could you still calculate the probabilities in parts (a) and (c) using the normal distribution? We calculate (a) without a nearly normal population distribution. Without a nearly normal population distribution and a small sample size of n = 25, the sampling distribution v be nearly normal. Therefore we 'I calculate (c) either