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need help with my statistic midterm I need formulas and solutions with answers to the following:
. For the following series of observations find the mean, median, and midrange.
6, 5, 2, 11, 5, 3, 9, 13, 20, 5, 16, 1.
2. Suppose your instructor assigns grade for the course based on your performance as
following: 35% for quizzes, 25% for midterm exam, 35% for final exam, and 5% for
attendance and class participation. What would your grade score be if you scored 75
points on quizzes, 80 points on midterm exam, 85 points on your final exam, and 90
points on attendance and class participation? (Calculate mean value from the following
probability table). Round your answer to the nearest integer.
Quizzes Midterm Exam Final Exam Attendance
Scores, X 75 80 85 90
Probability, P(X) 0.35 0.25 0.35 0.05
μ =
– 2 –
Use Binomial Distribution to solve problems 3 – 4
3. Over a long period of time a certain drug has been effective in 80% of the cases in
which it has been prescribed. If a doctor is now administering this drug to five patients,
what is the probability that it will be effective for
a) one patient
P(X = 1) =
b) less than two patients
P(X 1) =
– 3 –
Use Normal Distribution to solve problems 6–8
6. If Z is a standard normal variable find the probabilities of:
a) P(Z < −1.68) =
b) P(−1.68< Z 1.89) =
7. It is said that sufferers of a cold virus experience symptoms for 7 days. However, the
amount of time is a normally distributed random variable whose mean is 7.5 days and
whose standard deviation is 1.2 days.
What proportion of cold sufferers experiences symptoms for between 7 and 10 days?
P(7 < X < 10 ) =

8. The weekly salaries of teachers in one state are normally distributed with a mean of
$1850 and a standard deviation of $75. What is the amount of money that
separates
a) bottom 3% of these teachers
b) top 14% of these teachers

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