# math help

**Question description**

**number 1**. TALLAHASSEE. In Problems 46, 48 & 50, each individual letter of the word TALLAHASSEE is placed on a piece of paper and all 11 pieces of paper are placed in a ha. If one letter is selected at random from the hat, determine the probability that

46. The letter S is not selected.

48. The letter T or E is selected.

50. The letter V is not selected.

**number 2.**Music Purchases. At the Virgin Music store in Times Square, 60 people entering the store were selected at random and were asked to choose their favorite type of music. Of the 60, 12 chose rock, 16 chose country, 8 chose classical and 24 chose something other than rock, country or classical. Determine the empirical probability that the next person entering the store favors

a) rock music.

b) country music.

c) something other than rock, country, or classical music.

**number 3**. Three Coins. Three coins are tossed. (hint you may want to draw a tree diagram to list the sample space.)

a) Determine the number of points in the sample space.

c) Determine the probability that no heads are tossed.

d) Determine the probability that exactly one head is tossed.

e) Determine the probability that three heads are tossed.

**number 4.** In Exercises 14, 16, 18 & 20, identify the sampling technique used to obtain a sample. Explain your answer.

14. Every 10th iPod coming off an assembly line is checked for defects.

16. A door prize is given away at a home improvement seminar. Tickets are placed in a bin, and the tickets are mixed up. Then a ticket is selected by a blindfolded person.

20. The Food and Drug Administration randomly selects five stores from each of four randomly selected sections of a large city and checks food items for freshness. These stores are used as a representative sample of the entire city.

**number 5 **Job Interviews. Christina Dwyer is searching for a new job. She lives in Shreveport, Louisiana, and has interviews in Barrow, Alaska; Tucson, Arizona; and Rochester, New York. The cost of a one-way flights between these four cities are as follows: Shreveport to Barrow costs $855, Shreveport to Tucson costs $803, Shreveport to Rochester costs$113, Barrow to Tucson costs $393, Barrow to Rochester costs $337, and Tucson to Rochester costs $841.

a)Represent this traveling salesman problem with a complete, weighted graph showing the prices of the flights on the appropriate edges.

b)Use the brute force method to determine the least expensive route for Christina to travel to each city and return home to Shreveport.

c)What is the minimum cost she can pay?

Selecting Dates. If two dates are selected at random from the 365 days of the year, use the counting principle to determine the number of possible outcomes if the dates are selected

a) with replacement.

b) without replacement.

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