Question

Show ALL work. Answer alone = 0.2 pts 1. Assume the x has a normal distribution, with specified mean and standard deviation. Find P(10 SXS 26): y = 15; 0 = 4. To 4 decimal places. 2. For a given population of high school seniors, the SAT in math has a mean score of 500 with a standard deviation of 100. Another widely used test is the ACT exam. The math portion of the ACT has a mean of 18 with a standard deviation of 6. Both SAT and ACT scores are normally distributed. Letz=-0.25 Suppose that an engineering school honors program will accept only students with a math SAT or ACT score in the top 60%. The minimum SAT score in math for this program is _ The minimum ACT score in math for this program is - Express the SAT score as a whole number and the ACT score to 1 decimal place. 3. The amount of money spent weekly on cleaning, maintenance and repairs at a large restaurant was observed over a long period of time to be approximately normally distributed with a mean of $625 and a standard deviation of $39. If $646 is budgeted for next week, what is the probability that the actual costs will exceed the budget? Express your answer to 4 decimal places. 4. Assume the x has a normal distribution, with specified mean and standard deviation. Find P(40 5x < 47); p = 50; o = 15. Express your answer to 4 decimal places. 5. Assume the x has a normal distribution, with specified mean and standard deviation. Find Px 120); = 100; o = 15. Express your answer to 4 decimal places.