Question 3 The average length of the songs in all of Theo's playlists is 2.75 minutes with a standard deviation of 0.43 minutes. Suppose we randomly pick 30 songs from all of his playlists. Find P(81 16). Normal Probability Calculator O 0.017 O 0.170 O 0.830 O 0.983Question 7 2 pts 20% of the songs in all of Theo's playlists are considered country songs. Suppose we randomly pick 50 songs from all of his playlists. Using the normal probability sampling distribution for proportions, 13 N N (p, 1/ %) ,what is the probability of getting less than 18% country songs in the sample of 50 songs? That is, nd P (33 A population ofvalues has a normal distribution with ,u = 135.1 and a = 76.2. You intend to draw a random sample of size n = 232. What is the mean of the distribution of sample means? What is the standard deviation of the distribution of sample means? (Report answer accurate to 2 decimal places.) C] 0 Question 2 v Let X represent the full height of a certain species of tree. Assume that X has a normal probability distribution with mean 16.1 ft and standard deviation 57.7 ft. You intend to measure a random sample ofn = 195 trees. The bell curve below represents the distribution of these sample means. The scale on the horizontal axis is the standard error (standard deviation) of the sampling distribution. Complete the indicated boxes. correct to two decimal places. The boxes below the normal curve are sequenced [#5, 2 . 05], [Melina + 2 - oi]. Submit