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digits 1, 3. The board of directors of a corporation must select a president, a secretary, and a treasurer. In how many possible ways can this be accomplished if there are 22 members on the board of directors? 4. If P(A) = 0.5, P(B) = 0.8, and P(A or B) = 0.9, find P(A and B). %3D

digits 1, 3. The board of directors of a corporation must select a president, a secretary, and a treasurer. In how many possible ways can this be accomplished if there are 22 members on the board of directors? 4. If P(A) = 0.5, P(B) = 0.8, and P(A or B) = 0.9, find P(A and B). %3D

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.7: Distinguishable Permutations And Combinations
Problem 30E
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PM Tue Apr 5 T sample space.Two digits are selected without replacement from the digits 1, 2, 3, 4, 5, and 6. 3. The board of directors of a corporation must select a president, a secretary, and a treasurer. In how many possible ways can this be accomplished if there are 22 members on the board of directors? 4. If P(A) = 0.5, P(B) = 0.8, and P(A or B) = 0.9, find P(A and B). 5. Suppose you ask a friend to randomly choose an integer between 1 and 10, inclusive. What is the probability that the number will be more than 5 or oc 6. What is the probability of drawing 2 cards in succession (without replacement) from a standard deck and having them both be face cards? Round to the nearest thousandth. 7. The probability that a 28-year-old male in the U.S. will die within one year is approximately 0.001395. If an insurance company sells a one- year, $20,000 life insurance policy to such a person for $475, what is the company's expectation? (Round your answer to the nearest dollar.) 8. Consider a binomial e of success on a single decimal places.) (a) Find P(r = 0). eriment with n = 7 trials where the probability al is p = 0.45. (Round your answers to three (b) Find P(r > 1) by using the complement rule. Please turn the page over
Transcribed Image Text:PM Tue Apr 5 T sample space.Two digits are selected without replacement from the digits 1, 2, 3, 4, 5, and 6. 3. The board of directors of a corporation must select a president, a secretary, and a treasurer. In how many possible ways can this be accomplished if there are 22 members on the board of directors? 4. If P(A) = 0.5, P(B) = 0.8, and P(A or B) = 0.9, find P(A and B). 5. Suppose you ask a friend to randomly choose an integer between 1 and 10, inclusive. What is the probability that the number will be more than 5 or oc 6. What is the probability of drawing 2 cards in succession (without replacement) from a standard deck and having them both be face cards? Round to the nearest thousandth. 7. The probability that a 28-year-old male in the U.S. will die within one year is approximately 0.001395. If an insurance company sells a one- year, $20,000 life insurance policy to such a person for $475, what is the company's expectation? (Round your answer to the nearest dollar.) 8. Consider a binomial e of success on a single decimal places.) (a) Find P(r = 0). eriment with n = 7 trials where the probability al is p = 0.45. (Round your answers to three (b) Find P(r > 1) by using the complement rule. Please turn the page over
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