Question
1) The scores of the top ten finishers in a recent golf tournament are listed below. Find the 1) mean and median score. 71 67
1) The scores of the top ten finishers in a recent golf tournament are listed below. Find the 1) mean and median score.
71 67 67 72 76 72 73 68 72 72
2) The distribution of blood types for 100 Americans is listed in the table. If one donor is selected at random, find the probability of selecting a person with blood type A+ or A-.
Blood Type O+ O- A+ A- B+ B- AB+ AB- Number 37 6 34 6 10 2 4 1
3) If an individual is selected at random, what is the probability that he or she has a birthday in July? Ignore leap years.
4) A group of students were asked if they carry a credit card. The responses are listed in the table.
Class Freshman
Sophomore Total
Credit Card Carrier 28
10
38
Not a Credit Card Carrier
Total 32 60 30 40 62 100
If a student is selected at random, find the probability that he or she is a sophomore and owns a credit card. Round your answers to three decimal places.
5) Determine the probability distribution's missing value. The probability that a tutor will see 0, 1, 2, 3, or 4 students
x01234 P(x) 0 0 7 ?
6) A test consists of 10 true or false questions. To pass the test a student must answer at least eight questions correctly. If the student guesses on each question, what is the probability that the student will pass the test?
7) According to government data, the probability that a woman between the ages of 25 and 29 was never married is 40%. In a random survey of 10 women in this age group, what is the probability that two or fewer were never married?
8) Find the sum of the areas under the standard normal curve to the left of z = -1.25 and to 8) the right of z = 1.25.
9) Determine whether the graph could represent a variable with a normal distribution. 9) Explain your reasoning.
10) The distribution of cholesterol levels in teenage boys is approximately normal with = 170 and = 30. Levels above 200 warrant attention. If 95 teenage boys are examined, how
many would you expect to have cholesterol levels greater than 225?
11) Assume that the heights of men are normally distributed with a mean of 69.0 inches and a 11) standard deviation of 2.8 inches. The U.S. Marine Corps requires that the heights of men
be between 64 and 78 inches. If 500 men want to enlist in the U.S. Marine Corps, how
many would you not expect to meet the height requirements?
12) In a certain normal distribution, find the mean when = 5 and 5.48% of the area lies to the left of 78.
13) SAT scores have a mean of 1026 and a standard deviation of 209. ACT scores have a mean of 20.8 and a standard deviation of 4.8. A student takes both tests while a junior and scores 860 on the SAT and 16 on the ACT. Compare the scores.
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