5. A study of amount of time it takes for a teacher to cover a specific chapter in a math class shows a normal find distribution with the mean of 7.5 hours and standard deviation of 1.5 hours. If 12 teachers are randomly selected , (a) the probability that their mean time will be between 7 and 8 hours. (b) the probability that their mean time will be below 7 or above 8 hours. (c) the probability that their mean time will be below 7 and above 8 hours. but Of 6. A bank's loan officer rates applications for credit. The rates are normally distributed with a mean of 200 and a standard deviation of 50. If a group of 10 applicants is randomly selected, (a) (2 points) find the probability of a mean rating that is between 180 and 215. (b) (3 points) find a mean rating that separates the top 10% from the bottom 90%