Soda comes in cans where the amount of carbonated refreshment contained in each can is normally distributed with a mean of 12.1 fluid ounces and a standard deviation of 0.12 fluid ounces.  Let the random variable S measure the amount of liquid in a randomly selected soda can. State the distribution of the random variable S. Group of answer choices S∼Normal(0,1) S∼Uniform(11.98,12.22) S∼Continuous(12.1,0.12) S∼Normal(12.1,0.12)   Compute the probability that a randomly selected can of soda contains at least the advertised 12 fluid ounces printed on the can's label.     Compute the value of P18 in this scenario.   Let Z∼Normal(0,1).  Compute the value of z0.04.

Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A single thermometer is randomly selected and tested. Find P26, the 26-percentile. This is the temperature reading separating the bottom 26% from the top 74%.P26 = °C(Round answer to three decimal places)

A standardized exam's scores are normally distributed. In a recent year, the mean test score was 1529 and the standard deviation was 320. The test scores of four students selected at random are 1970, 1280, 2220, and 1410. Find the z-scores that correspond to each value and determine whether any of the values are unusual. The z-score for 1970 is. (Round to two decimal places as needed.) The z-score for 1280 is (Round to two decimal places as needed.) The z-score for 2220 is (Round to two decimal places as needed.) The z-score for 1410 is (Round to two decimal places as needed.) Which values, if any, are unusual? Select the correct choice below and, if necessary, fill in the answer box within your choice. A. The unusual value(s) is/are (Use a comma to separate answers as needed.) B. None of the values are unusual.

Yoonie is a personnel manager in a large corporation. Each month she must review 16 of the employees. From past experience, she has found that the reviews take her approximately four hours each to do with a population standard deviation of 1.2 hours. Let X be the random variable representing the time it takes her to complete one review. Assume X is normally distributed. Let X be the random variable representing the mean time to complete the 16 reviews. Assume that the 16 reviews representa random set of reviews. Find the probability that the mean of a month's reviews will take Yoonie from 3.5 to 4.25 hrs. (a) Sketch the graph, labeling and scaling the horizontal axis. Shade the region corresponding to the probability. ↑ 2.8 4 3.2 6.4 O 0.4 1.6 2.8 4 5.2 6.4 7.6 0.4 1.6 2.8 4 5.2 6.4 7.6 X O 0.4 1.6 0.4 1.6 WebAsign Plot 7.6 6.4 7.6 X (b) Give the probability statement and the probability. (Enter exact numbers as integers, fractions, or decimals for the probability statement. Round the…