SOLUTION: 6. A spinner that has 3 sections of equal area, numbered from 1 to 3, is spun two times in succession. Which is NOT part of the sample space? (2 points) (1, 3) (3, 3) (3, 2)

Question 449994: 6. A spinner that has 3 sections of equal area, numbered from 1 to 3, is spun two times in succession. Which is NOT part of the sample space? (2 points)
(1, 3)
(3, 3)
(3, 2)
(3, 4)
7. A local weather forecaster is accurate 85% of the time when predicting precipitation for the day. What is the probability that she will make correct precipitation predictions 4 days in a row? Round to the nearest whole percent. (2 points)
about 54%
about 53%
about 52%
about 47%
8. A bag contains 6 purple marbles and 7 white marbles. Two marbles are drawn at random. One marble is drawn and not replaced. Then a second marble is drawn. What is the probability that the first marble is white and the second one is purple? (2 points)

9. In how many different ways can you arrange 7 books on a shelf? (2 points)
823,543 ways
5,040 ways
720 ways
28 ways
Does the problem involve permutations or combination? Explain.
10. In how many different ways could a committee of 5 students be chosen from a class of 25 students?
(2 points)
Permutations; the order matters.
Permutations; the order does not matter.
Combinations; the order does not matter.
Combinations; the order matters.
11. You work at a T-shirt printing business. Of the 2,800 T-shirts shipped, 396 have a defect. What is the experimental probability that a T-shirt has a defect? Write your answer as a percent, to the nearest tenth of a percent. (2 points)
15.3%
14.1%
11.7%
19.4%
Is the sample described a good sample? Explain.
12. To find the average income of an adult in the United States, 250 workers in Tennessee are questioned. (2 points)
No; the sample is not random.
Yes; the sample is selected at random from the population to be studied.
No; the sample is not selected from the population to be studied.
13. A worker takes a random sample of 200 bolts and finds that 30 of them are either too long or too short, thus making them unusable. Estimate the number of unusable bolts in a production of 17,000 bolts. (2 points)
1,610 bolts
2,550 bolts
2, 140 bolts
2,260 bolts
14. Out of a random sample of 330 apples, 25 are rated "AAA." Estimate the number of apples that would be rated "AAA" in a crop of 57,000 apples. (2 points)
about 432 apples
about 4,318 apples
about 43,180 apples
about 8,636 apples

I have done a few of these problems, But honestly I am stuck.
Found 3 solutions by stanbon, rwm, ewatrrr:
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
A spinner that has 3 sections of equal area, numbered from 1 to 3, is spun two times in succession. Which is NOT part of the sample space? (2 points)
(1, 3)
(3, 3)
(3, 2)
(3, 4)
---
Ans: (3,4)
==========================
7. A local weather forecaster is accurate 85% of the time when predicting precipitation for the day. What is the probability that she will make correct precipitation predictions 4 days in a row? Round to the nearest whole percent. (2 points)
about 54%
about 53%
about 52%
about 47%
---
Ans: 0.85^4 = 52%
==========================
8. A bag contains 6 purple marbles and 7 white marbles. Two marbles are drawn at random. One marble is drawn and not replaced. Then a second marble is drawn. What is the probability that the first marble is white and the second one is purple? (2 points)
Ans: (7/13)(6/12)
==========================
9. In how many different ways can you arrange 7 books on a shelf? (2 points)
823,543 ways
5,040 ways
720 ways
28 ways
---
Ans: 7! = 5040
=================================
Does the problem involve permutations or combination? Explain.
Ans: permutations because it involves counting arrangements, not groups.
====================================
10. In how many different ways could a committee of 5 students be chosen from a class of 25 students?
(2 points)
Permutations; the order matters.
Permutations; the order does not matter.
Combinations; the order does not matter.
Combinations; the order matters.
Ans: combination; the order does not matter
==================================================
11. You work at a T-shirt printing business. Of the 2,800 T-shirts shipped, 396 have a defect. What is the experimental probability that a T-shirt has a defect? Write your answer as a percent, to the nearest tenth of a percent. (2 points)
15.3%
14.1%
11.7%
19.4%
---
Ans: 396/2800 = 14.1%
-------------------------
Is the sample described a good sample? Explain.
=======================================================
12. To find the average income of an adult in the United States, 250 workers in Tennessee are questioned. (2 points)
No; the sample is not random.
Yes; the sample is selected at random from the population to be studied.
No; the sample is not selected from the population to be studied.
---
Comment: I'll leave that to you.
==============================================
13. A worker takes a random sample of 200 bolts and finds that 30 of them are either too long or too short, thus making them unusable. Estimate the number of unusable bolts in a production of 17,000 bolts. (2 points)
1,610 bolts
2,550 bolts
2, 140 bolts
2,260 bolts
---
Ans: (30/200)17000 = 2550
=================================
14. Out of a random sample of 330 apples, 25 are rated "AAA." Estimate the number of apples that would be rated "AAA" in a crop of 57,000 apples. (2 points)
about 432 apples
about 4,318 apples
about 43,180 apples
about 8,636 apples
Ans:(25/33)57000 = 43182 when rounded up
=======================
Cheers,
Stan H.

Answer by rwm(914)   (Show Source): You can put this solution on YOUR website!
Honestly, we only answer one at a time and a limit of 5 per day.
We help with homework not do it all for you.
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!

Hi,
Trust You were thinking along these lines.
6. There is NO #4 section to be included in the sample space
7. P(4 days with a correct prediction)= .85*.85*.85*.85 = .5220 = ~ 52%
8. 13 marbles in all(6-p,7-w): 2 drawn w/o replacemet: P(w,p) = 7/13*6/12
9. 7! = 5040 7*6*5*4*3*2*1 (each selection has one less book as a possibility)
10. 5 students chosen from a class of 25 students: 25C5,order does not matter
11. P = 396/2800 = .141 or 14.1% (to the nearest tenth)
12.sample is not a random sample from the US population to be studied
13. (30/200) * 17000 = 2550
14. (25/330)*57000 = ~ 4,318
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