Suppose SPS professors have an average life normally distributed of 73 years, with a population standard deviation of 6 years
a) What percent of SPS professors will live more than 75 years?
b) Calculate the 30th percentile.
c) Calculate the 97th percentile.
d) What percent of SPS professors will live less than 60 years? ?
e) What proportion of SPS professors will live between 85 and 90 years?
PROBLEM 3
Overall, the amount of work-hours involved in the festival preparation is normally distributed around 20 hours with a standard deviation of 5 hours.
a) What's the probability that the mean number of work-hours will be between 15 and 18?
b) The members at or below the 25%ile of number of worked-hours must attend a one-on-one meeting with their supervisor. At least how many work-hours should you have in order to avoid attending such session?
c) How likely (what is the probability) is it to have the number of involved work-hours over 30?
d) How likely is it (what is the probability) that some employee will have his/her involved work- hours between 14 and 26?
PROBLEM 4
Science scores for high school seniors in the United States are normally distributed with a mean of 78 and a standard deviation of 10. Students scoring in the top 10% are eligible for a special prize consisting of a laptop and $2,000. What is the approximate cutoff score a student must get in order to receive the prize?
PROBLEM 5
The average hourly wage of plumbers is normally distributed with a mean of $34.00 and a standard deviation of $6.00. Calculate the following:
a) The proportion of plumbers earning between $18 and $22
b) The proportion of plumbers earning more than $38
c) The proportion of plumbers earning less than $15
d) The 75th percentile