The life spans of a species of fruit fly have a bell-shaped…

 The life spans of a species of fruit fly have a bell-shaped distribution, with a mean of 33 days and a standard deviation of 4 days.  Find the z-scores of the following life spans: 34 days and 42 days.  Are either of these values unusual?  The life spans of three randomly selected fruit flies are 21 days, 41 days, and 25 days.  Using the Empirical Rule  (68-95-99.7 Rule), find the percentile that corresponds to each life span.

A student receives test scores of 62, 83, and 91.  The stude…

A student receives test scores of 62, 83, and 91.  The student’s final exam score is 88 and homework score is 76.  EACH test is worth 20% of the final grade, the final exam is 25% of the final grade, and the homework grade is 15% of the final grade.  What is the student’s weighted mean score in the class?