For a recent exam, the average score of the class was 46 and scores were normally distributed. Also, 84.13% of the class received scores below 64. Alfred received a score of 58. Then, the teacher decides to scale the grades so that the average scores of the class becomes 85 with a standard deviation of 7. What scores should Alfred receive after scaling?

You were told that the amount of time lapsed between consecutive trades on the new york stock exchange followed a normal distribution with a mean of 15 seconds. you were also told that the probability that the time lapsed between two consecutive trades to fall between 16 to 17 seconds was 13%. the probability that the time lapsed between two consecutive trades would fall below 13 seconds was 7%. what is the probability that the time lapsed between two consecutive trades will be between 14 and 15 seconds?