Please see below. I need assistance on these specific problems. Note that I am only given one attempt at each of these items. Please help!!!!

Scores on a certain intelligence test for children between ages 13 and 15 years are approximately normally distributed with / = 96 and o = 15. (Note: Please use at least 3 decimal places for your z-score for all parts.) (a) What proportion of children aged 13 to 15 years old have scores on this test above 78 ? (NOTE: Please enter your answer in decimal form. For example, 45.23% should be entered as 0.4523.) Answer: EEE (b) Enter the score which marks the lowest 30 percent of the distribution. Answer: (c) Enter the score which marks the highest 15 percent of the distribution. Answer:The proportion of eligible voters in the next election who will vote for the incumbent is assumed to be 52%. What is the probability that in a random sample of 560 voters, less than 274 say they will vote for the incumbent? Remember to use the continuity correction and calculate z-scores to at least 3 decimal places. Give probabilities to 4 decimal places. Probability = preview answers") Scores for men on the verbal portion of the SAT-I test are normally distributed with a mean of 509 and a standard deviation of 112. Note: Please round z-scores to 3 decimal places and give probabilities to at least 4 decimal places. (a) If 1 man is randomly selected, find the probability that his score is at least 576.5. (b) If 1 1 men are randomly selected, find the probability that their mean score is at least 576.5. 1 1 randomly selected men were given a review course before taking the SAT test. If their mean score is 576.5, is there a strong evidence to support the claim that the course is actually effective? (Enter YES or NO)A manufacturer of aspirin claims that the proportion of headache sufferers who get relief with just two aspirins is 63.4%. What is the probability that in a random sample of 490 headache sufferers, no more than 289 obtain relief? Remember to use the continuity correction and calculate z-scores to at least 3 decimal places. Give probabilities to 4 decimal places. Probability = preview answers