Use the following information for 15 through 20. A bag contains 6 balls with the following colors: red, white, blue, yellow, green, and orange. You cannot see into the bag and all balls have the same feel, so the selections are random. 15. If four balls are picked out (without replacement), how many different permutations can there be? 16. If three balls are picked out (without replacement), how many different combinations can there be? 17. If two balls are picked (without replacement), what is the probability that one will be red and the other blue?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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Use the following information for 15 through 20.
with the following colors: red, white, blue, yellow, green, and orange. You
cannot see into the bag and all balls have the same feel, so the selections
A bag contains 6 balls
are random.
15. If four balls are picked out (without replacement), how many different
permutations can there be?
16. If three balls are picked out (without replacement), how many different
combinations can there be?
17. If two balls are picked (without replacement), what is the probability
that one will be red and the other blue?
18. If only one ball is picked, what is the probability that is it not orange?
19. If one ball is picked at a time (with replacement), what is the probability
of picking the orange ball at least once in 3 attempts?
20. If all six balls are picked out one at a time (without replacement), how
many different permutations can there be?
Transcribed Image Text:Use the following information for 15 through 20. with the following colors: red, white, blue, yellow, green, and orange. You cannot see into the bag and all balls have the same feel, so the selections A bag contains 6 balls are random. 15. If four balls are picked out (without replacement), how many different permutations can there be? 16. If three balls are picked out (without replacement), how many different combinations can there be? 17. If two balls are picked (without replacement), what is the probability that one will be red and the other blue? 18. If only one ball is picked, what is the probability that is it not orange? 19. If one ball is picked at a time (with replacement), what is the probability of picking the orange ball at least once in 3 attempts? 20. If all six balls are picked out one at a time (without replacement), how many different permutations can there be?
Use the following information to answer questions 9 and 10. In analyzing
test scores an instructor finds that the mean grade on a test is 83.6 with a
standard deviation of 7.4.
9. What is the z-score associated with a score of 94?
10. Would it be unusual to select a test at random and find the score to be
70 or lower? Justify your answer in terms of the z-score.
Answer the next four questions using the following table. The table shows
the responses of 125 people to the question of whether they prefer
McDonald's or Burger King or neither.
McDonald's
Burger King
Neither
Total
Male
35
20
10
Female
Total
65
60
125
20
15
35
25
35
55
11. What is the probability that a randomly selected person prefers Burger
King?
12. What is the probability that a randomly selected person is female AND
prefers McDonald's?
13. What is the probability that a randomly selected person is male OR
prefers Burger King?
14. What is the probability that if two people are randomly selected, they
both prefer McDonald's?
Transcribed Image Text:Use the following information to answer questions 9 and 10. In analyzing test scores an instructor finds that the mean grade on a test is 83.6 with a standard deviation of 7.4. 9. What is the z-score associated with a score of 94? 10. Would it be unusual to select a test at random and find the score to be 70 or lower? Justify your answer in terms of the z-score. Answer the next four questions using the following table. The table shows the responses of 125 people to the question of whether they prefer McDonald's or Burger King or neither. McDonald's Burger King Neither Total Male 35 20 10 Female Total 65 60 125 20 15 35 25 35 55 11. What is the probability that a randomly selected person prefers Burger King? 12. What is the probability that a randomly selected person is female AND prefers McDonald's? 13. What is the probability that a randomly selected person is male OR prefers Burger King? 14. What is the probability that if two people are randomly selected, they both prefer McDonald's?
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