Good day, Can you please help me with this? it will help me a lot. Thanks in advance

DIRECTION : SOLVE THE FOLLOWING PROBLEMS AND SHOW YOUR COMPLETE SOLUTIONS 1. GIVEN THAT X IS A NORMALLY DISTRIBUTED RANDOM VARIABLE WITH A MEAN OF 50 AND A STANDARD DEVIATION OF 5, FIND THE FOLLOWING. a. P ( x > 55) d. P ( 37 5 x 548 ) b. P (x 45) 2. SUPPOSE THAT THE MEAN IQ SCORE OF ALL TEST TAKERS IN A COLLEGE ADMISSION TEST IS 100 AND HAS THE STANDARD DEVIATION OF 6 ASSUMING THAT THE SCORES ARE NORMALLY DISTRIBUTED . A. What is the IQ score of a certain student with a z score of - 2.50? B. Find the probability that the IQ score of a randomly selected test taker is greater than 94. C. Find the probability that the IQ score of a randomly selected test taker is less than 88. D. Find the probability that the IQ score of a randomly selected test taker is between 88 and 112. E. If there were 1,000 test takers, how many students have IQ scores between 88 and 112