I need correct answer for the photos attached sir/ma'am. Badly need help for the solution. Explanation is NOT necessary. Your answer will be helpful to me.
Directions are already given in the photos.
A.
LET'S START A. Using the table of area under the normal curve, find the probability. Show your solutions. (3 points each) 1. P(Z-3.21) 2. P(Z2.56)A. Answer the following completely. Show your solutions. . 1. An Adult Intelligence Test Scale is composed of a number of sub tests. On one sub test, the raw scores have a mean of 35 and a standard deviation of 6. Assuming these raw scores form a normal distribution: a) What number represents the 65" percentile (what number separates the lower 65% of the distribution)? b) What number represents the 90" percentile? c) What is the probability of getting a raw score between 28 and 38?d) What is the probability of getting a raw score between 41 and 44? 5. A normal distribution of scores has a standard deviation of 10. Find the z-scores corresponding to each of the following values: a) A score of 60, where the mean score of the sample data values is 40. 2. Scores on the SAT form a normal distribution with # =500 and o=100. What is the minimum score necessary to be in the top 15% of the SAT distribution? b) A score that is 30 points below the mean. 3. A patient recently diagnosed with Alzheimer's disease takes a cognitive abilities test and scores a 45. The mean on this test is 52 and the standard deviation is 5. What is the patient's percentile rank? c) A score of 80, where the mean score of the sample data values is 30. 4. A fifth grader takes a standardized achievement test (mean = 125, standard deviation = 15) and scores a 148.What is the child's percentile rank'3. The life span of an equipment produced by a company has a normal distribution with a mean p = 12 years and a standard deviation of 2 years. Find the probability that the equipment will last between 7 and 12 years. LET'S START B. Solve completely. Show your solutions. ( 1. Marlon earned a score of 958 on a national achievement test. The mean test score was 850 with a standard deviation of 200. What proportion of student had a higher score than Marlon?. Assume that the test scores are normally distributed. 4. The length of time between charges of the battery of an electric vehicle is normally distributed with a mean of 20 hours and a standard deviation of 15 hours. Mark, the owner of one of the electric vehicles, wants to know the probability that the lengths of time will be 20 to 30 hours. 2. A government agency is using radar to catch speeding drivers along a major highway. The speeds are normally distributed with a mean of 60 kph and a standard deviation of 15 kph. What is the probability that a car picked at random is travelling less than 75 kph
