SOLUTION: I really need help... I have a stomach virus and this quiz is due tonight. Can someone please help me... I do not normally do this sort of thing --- but, I am totally given out ---

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Question 195607: I really need help... I have a stomach virus and this quiz is due tonight. Can someone please help me... I do not normally do this sort of thing --- but, I am totally given out ---
1. During the last hour, a salesman dialed 25 numbers and reached 7 busy signals, 3 answering machines, and 15 people. Use this information to determine the empirical probability that the next call will be answered in person.

2. If you roll a dice many times, what would you expect to be the relative frequency of rolling a number less than 5?
A) 2 out of 3 B) 1 out of 3 C) 1 out of 6 D) 1 out of 2
E) 5 out of 6
3. A jar contains 4 yellow gumballs, 12 green gumballs, and 11 black gumballs. If one gumball is selected at random, what is the probability that it is not yellow?

4. One card is selected at random from a standard 52-card deck of playing cards. Find the probability that the card selected is a king.

5. The odds against Thunderbolt winning the Alabama Derby are 11:3. Find the probability that Thunderbolt wins.
A) 3/11 B) 3/14 C) 8/11 D) 8/14 E) 3/8
6. 500 tickets for prizes are sold for $2 each. Five prizes will be awarded – one for $300, one for $200, and three for $50. Sam purchases one of the tickets.
a) Find the expected value
b) Find the fair price of the ticket.

7. Two basketballs are to be selected without replacement from a bag containing one red, one blue, one green, and one yellow basketball. How many points are there in the sample space?
8. A license plate is to consist of three letters followed by two digits. How many different license plates are possible if the first letter must be a vowel (a, e, i, o, u), and repetition of letters is not permitted, but repetition of digits is permitted?

9. A businessman has 7 pairs of pants, 9 shirts, and 4 ties. How many different outfits can he wear?
10. A specific brand of bicycle comes in two frames, for males or females. Each frame comes in a choice of three colors, red, white, and blue, and with a choice of three seats, soft, medium, and hard.
a)Use the counting principle to determine the number of different arrangements of bicycles that are possible.
b)Construct a tree diagram illustrating all the different arrangements of bicycles that are possible.
c)List the sample space.
11. The results of a survey for an airline are shown below
Traveler Male Female Total
Business 47 72 119
Vacation 71 64 135
Total 118 136 254
Use the chart to find the probability that the traveler was
a) male
b) on vacation given the traveler was female
c) male given the traveler was on vacation
12. In how many ways can 6 teachers be assigned to six sections of a course in mathematics?
13. At an annual daylilly show, 7 different entries are to be arranged in a row.
a) How many different arrangements of the entries are possible?
b) If the owners of the 1st, 2nd, and 3rd place entries will be awarded prizes of $100, $50, and $25 respectively, how many ways can the prizes be awarded?
14. How many different ways are there for an admissions officer to select a group of 6 college candidates from a group of 15 applicants for an interview?

Answer by user_dude2008(1862) About Me  (Show Source):
You can put this solution on YOUR website!
somebdy already answered

http://www.algebra.com/algebra/homework/Probability-and-statistics/Probability-and-statistics.faq.question.195541.html