What position [how many standard deviations] in the distribution corresponds to z-score of z= -1.00?

The distribution for the time a patient of a medical center spends waiting for an appointment is normal with mean of 35 minutes and standard deviation of 12 minutes. What proportion of patients will wait more than 47 minutes for an appointment?

What is the z-score of x = 75, if it is 2.8 standard deviations to the left of the mean? Answer to the nearest tenth.

On an intelligence​ test, the mean number of raw items correct is 236 and the standard deviation is 39. What are the raw​ (actual) scores on the test for people with IQs of​ (a) 119​, ​(b) 81​, and​ (c)100​? To do this​ problem, first figure the Z score for the particular IQ​ score; then use that Z score to find the raw score. Note that IQ scores have a mean of 100 and a standard deviation of 15.   ​(a) What is the raw​ (actual) score on the test for people with an IQ of 119​?

2000 freshmen at state university took a biology test. the scores were normally distributed with a mean of 70 and a standard deviation of 5. Use z scores. (1) the percent of students that scored less than 77

The distribution of scores for an exam follow the rule of thumb for standard deviation. If the average score on the exam is 75 and the standard deviation is 5, what percentage of students would you expect to score between 65 and 85 on the exam (to 2 significant digits)?

Exam scores in a large class are normally distributed with a mean of 55 and standard deviation of 10. The teacher decides to boost the scores by adding 20 points to everyone’s score.  Elizabeth’s original score on the exam was 75, so her new score is 95. The z-score corresponding to her new score (relative to the other new scores) will be:

Joe's average bowling score is 181, and is normally distributed with a standard deviation of 34. What z-score corresponds with a bowling score of 227 points?