Please I need some help answering the following problems, thanks in advance.

A)

(1 point) The lifetime of a certain type of TV tube has a normal distribution with a mean of 57 and a standard deviation of 5 months. What proportion of the tubes lasts between 58 and 59 months? Answer: % Note: Round your answer to 2 decimal places. (1 point) Almost all medical schools in the United States require applicants to take the Medical College Admission Test (MCAT). On one exam, the scores of all applicants on the biological sciences part of the MCAT were approximately Normal with mean 8.9 and standard deviation 2.2. For applicants who actually entered medical school, the mean score was 10.5 and the standard deviation was 1.7. (a) What percent of all applicants had scores higher than 11? ANSWER: % (b) What percent of those who entered medical school had scores between 8 and 12? ANSWER: % (1 point) The temperature at any random location in a kiln used in the manufacture of bricks is normally distributed with a mean of 925 and a standard deviation of 60 degrees. If bricks are fired at a temperature above 1115, they will crack and must be disposed of. If the bricks are placed randomly throughout the kiln, the proportion of bricks that crack during the firing process is closest to (Note: Please enter your answer in decimal form. For example, 5.02% should be entered as 0.0502.) (1 point) Scores on a certain intelligence test for children between ages 13 and 15 years are approximately normally distributed with u = 96 and a = 21. (a) What proportion of children aged 13 to 15 years old have scores on this test above 82 '? (NOTE: Please enter your answer in decimal form. For example, 45.23% should be entered as 0.4523.) Answer: (b) Enter the score which marks the lowest 20 percent of the distribution. Answer: (c) Enter the score which marks the highest 10 percent of the distribution. Answer: (1 point) The length, X, of a fish from a particular mountain lake in Idaho is normally distributed with y = 9 inches and a = 1 inches. (a) Is X a discrete or continuous random variable? (Type: DISCRETE or CONTINUOUS) ANSWER: (b) Write the event "a fish chosen has a length of less than 7 inches" in terms ofX: (c) Find the probability of this event: (d) Find the probability that the length of a chosen fish was greater than 11 inches: (e) Find the probability that the length of a chosen fish was between 7 and 11 inches