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Need to have my statistics homework done by friday 4-5-13 by 9pm. Looking for someonw who is good at the subject.
1. Two fair dice are rolled and the number of dots facing up is added. Fill in the column for the probabilities.
|
X= sum of the dots facing up |
P(X) |
|
2 |
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3 |
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4 |
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5 |
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6 |
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7 |
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8 |
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9 |
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10 |
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11 |
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12 |
Consider the following probability table to answer the questions 2 and 3.
|
x |
P(x) |
|
4 |
0.01 |
|
8 |
0.03 |
|
12 |
0.05 |
|
20 |
0.09 |
|
24 |
0.50 |
|
25 |
0.28 |
|
26 |
0.04 |
2. Find the mean or expected value of this probability distribution.
3. Find the standard deviation of this probability distribution.
4. A sample of 4 people is selected from a group of six people named Ali, Bina, Chris, David, Erin and Frank.
a) How many such samples are possible?
b) What is the probability a sample containing Bina and Chris is selected.
Consider the following for the questions #5,#6,#7
A fair die is rolled three times and the number of dots facing up is noted.
5. How many elements does the sample space have?
6. What is the probability that the three rolls will have different numbers?
7. What is the probability that all the three rolls will have even numbers?
8. How many different simple random samples of size 8 can be selected from a population consisting of 70 people? (you may use the combinations)
9. A lottery game named Mega millions let a player choose a set of 5 numbers from a set of numbers 1 to 56 and another set of 1 number from 1 to 46. How many different selections can be made? (you may use the combinations)
10. A strabismus surgery has a probability of 0.9 of success in the first attempt and a probability of 0.98 of success in the second attempt. Use the techniques of tree diagrams to find the probability the probability that the surgery will be successful within two attempts. (round four digits after the decimal)
11.A computer manufacturer uses graphic cards made by two companies N and I. They are using the cards made by N in 80% of the computers and made by I on 20% of the computers. They have found that 2% of the cards made by N have been defective and 5% of the cards made by I have been defective. A computer owner has reported a problem with the graphic card. Use the techniques of tree diagrams to find the probability that the card is made by I. (round four digits after the decimal)
Consider the following context for the questions #15,#16,#17,#18
In a certain region, 91% of the people can speak English, 44% can speak Spanish, and 40% can Speak both English and Spanish. One person is randomly selected from this region. Use Venn Diagrams to
15. Find the probability that the selected person can speak only one of the language from out of English and Spanish.
16. Find the probability that the selected person can speak neither of the two languages (English or Spanish.)
17. Find the probability that the selected the person can speak English but not Spanish.
18. Find the probability that the selected person can speak English, given that the person can speak Spanish.
For the questions #19,#20, consider a deck of 52 cards as shown below
#19. The deck is well shuffled, card is drawn and a card is drawn, find the probability that the card is a face card, i.e. a Jack or Queen, a King or an ace.
#20. A game charges $1.00 to play and pays $4.00 if a card drawn from a well shuffled deck such as above is a face card, other wise the the player loses the money. Find the expected expected value of the gain for this player.
You may fill the following table to answer this question
|
Outcome |
Gain |
Probability |
|
Face Card |
$4‐$1=$3 |
|
|
No Face Card |
$0‐$1=─$1 |
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