answer in complete sentences, and be
sure to use correct English spelling and grammar. Sources must be cited in APA format. Your response should be a minimum of one (1)
single-spaced page to a maximum of two (2) pages in length; refer to
the "Assignment Format" page for specific format requirements.
Show your work in the problems.
1. A recent article in the Myrtle Beach Sun Times reported that the mean labor cost to repair a color
television is $90 with a standard deviation of $22. Monte’s TV Sales and Service completed
repairs on two sets this morning. The
labor cost for the first was $75 and it was $100 for the second. Compute z values for each and comment on
2. The mean of a normal distribution is 400
pounds. The standard deviation is 10
is the area between 415 pounds and the mean?
is the area between the mean and 395 pounds?
c. What is the probability of selecting a value
at random and discovering that it has a value of less than 395 pounds?
3. The monthly sales of mufflers in the Richmond, VA
area follow the normal distribution with a mean of 1200 and a standard
deviation of 225. The manufacturer would
like to establish inventory levels such that there is only a 5% chance of
running out of stock. Where should the
manufacturer set the inventory levels?
4. Research on new juvenile delinquents revealed
that 38% of them committed another crime.
a. What is the probability that of the last 100
new juvenile delinquents put on probation, 30 or more will commit another
b. What is the probability that 40 or fewer of
the delinquents will commit another crime?
c. What is the probability that between 30 and
40 of the delinquents will commit another crime?
5. An Air Force study indicates that the
probability of a disaster such as the January 28, 1986 explosion of the space shuttle Challenger was 1 in 35. The Challenger
flight was the 25th mission.
a. How many disasters would you expect in the
first 25 flights?
b. Use the normal approximation to estimate the
probability of at least one disaster in 25 missions.