NEED THESE TO BE DONE AND SENT BCK IN 20 HRS

MAT 181 Chapter 4 Continued Practice Problems-2Q Name___________________________________

Provide a written description of the complement of the given event.

1) Of ten adults, at least one of them has high blood pressure. 1) _______

A) Nine of the adults have high blood pressure.

B) At most one of the adults has high blood pressure.

C) None of the adults have high blood pressure.

D) All of the adults have high blood pressure.

2) When 100 engines are shipped, all of them are free of defects. 2) _______

A) All of the engines are defective. B) None of the engines are defective.

C) At most one of the engines is defective. D) At least one of the engines is defective.

3) Of the thirteen different women Calvin asks for a date, at least one of them accepts. 3) ______

A) None of the women accept Calvin's offer.

B) At most one of the women accepts Calvin's offer.

C) All but one woman accepts Calvin's offer.

D) All of the women accept Calvin's offer.

Find the indicated probability. Express your answer as a simplified fraction unless otherwise noted.

4) The table below shows the soft drinks preferences of people in three age groups.

If one of the 255 subjects is randomly selected, find the probability that the person is over 40 years of age. 4) ______

A)

B)

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C)

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D)

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5) The table below shows the soft drinks preferences of people in three age groups.

If one of the 255 subjects is randomly selected, find the probability that the person is over 40 and drinks cola. 5) ______

A)

B)

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C)

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D) None of the above is correct.

Evaluate the expression.

6) 4! 6) ______

A) 24 B) 20 C) 6 D) 28

7)

7) ______

A) 54,000 B) 2! C)

D) 504

8)

8) ______

A) 2 B) 252 C) 30,240 D) 5

9) 15C8 9) ______

A) 5040 B) 3 C) 6435 D) 1980

Solve the problem. (Combinations)

10) There are 8 members on a board of directors. If they must form a subcommittee of 6 members, how many different subcommittees are possible? 10) ______

A) 262,144 B) 28 C) 720 D) 20,160

Solve the problem. (Combinations)

11) A state lottery involves the random selection of six different numbers between 1 and 25. If you select one six number combination, what is the probability that it will be the winning combination? 11) ______

A)

B)

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C)

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D)

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Solve the problem. (Permutations)

12) How many 5-digit numbers can be formed using the digits 1, 2, 3, 4, 5, 6, 7 if repetition of digits is not allowed? 12) ______

A) 2520 B) 120 C) 119 D) 16,807

Solve the problem.

13) A musician plans to perform 5 selections. In how many ways can she arrange the musical selections? 13) ______

A) 25 B) 120 C) 720 D) 5