Project #28694 - Probability HW NEED HELP ASAP

1. Certain data obtained from a study of a group of 1000 subscribers to a certain magazine

relating to their sex, marital status, and education were reported as follows: 312 males,

470 married, 525 college graduates, 42 male college graduates, 147 married college

graduates, 86 married males, and 25 married male college graduates. Is this data

2. A small college consists of 25% Westerners, 50% Midwestemers, and 25% Easterners. If

30% of the Westerners wear ties, 45% of the Midwestemers wear ties, and 60% of the

Easterners wear ties, what is the probability that a randomly-found tie belongs to an

Easterner?

3. An urn contains balls of 4 different colors, each color being represented by the same

number of balls. Four balls are drawn, with replacement. What is the probability that at

least 3 different colors are represented in the sample?

4. Consider four cards, on each of which is marked off a sidel and side 2. On card 1, both

side 1 and side 2 are colored red. On card 2, both side 1 and side 2 are colored black. On

card 3, side 1 is colored red and side 2 is colored black. On card 4, side 1 is colored black

and side 2 is colored red. A card is chosen at random. What is the probability that if one

side of the card is colored red, the other side of the card will be black?

5. From a pack of 52 cards an even number is drawn. What is the probability that half of the

cards will be red and half will be black?

6. Consider 5 families, each consisting of 4 persons. If it is reported that 6 of the 20

individuals in these families have a contagious disease, what is the probability that at

least 3 of the families will be quarantined?

7. Urn I contains 6 white balls and 4 black balls. Urn II contains 2 white and 2 black balls.

From Urn I 2 balls are transferred to Urn II. A sample of size 2 is then drawn without

replacement from Urn II. What is the probability that the sample will contain exactly 1

white ball?

8. Each of 3 boxes, identical in appearance, has 2 drawers. Box A contains a gold coin in

each drawer; Box B contains a silver coin in each drawer; Box C contains a gold coin in

drawer 1 and a silver coin in the other. A box is chosen, one of its drawers is opened, and

a silver coin is found. What is the probability that the other drawer contains a gold coin?

9. Two athletic teams play a series of games where the first team winning 4 games is the

winner. The World Series is an example. Suppose that 1 of the teams is stronger than the

other and has probability p of winning each game, independent of the outcomes of any

other games. Assume that a game cannot end in a tie. Find the four probabilities that the

series will end in

a. 4,5,6, or 7 games given that p=2/3. - ^^

b. 4,5,6, or 7 games given that p= 1/2.

10. a. Suppose that in a random sample of 5 cards, taken from a regular 52-card deck, one

card is known to be an ace. What is the probability that the remaining 4 cards comprise at

least one more ace?

b. Now suppose that in that 5 card sample, one is known to be the Ace of Spades. What is

the probability that the remaining 4 cards comprise at least one more ace?

 Subject Mathematics Due By (Pacific Time) 04/23/2014 10:00 pm
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