Thousands of jokes have been told about marriage and divorce. Exercises 61-68 are based on the following observations:
• "By all means, marry; if you get a good wife, you'll be happy. If you get a bad one, you’ll become a philosopher. "—Socrates
• "My wife and I were happy for 20 years. Then we met." — Rodney Dangerfield
• "Whatever you may look like, marry a man your own age. As your beauty fades, so will his eyesight."—Phyllis Diller
• "Why do Jewish divorces cost so much? Because they're worth it." — Henny Youngman
• "I think men who have a pierced ear are better prepared for marriage. They've experienced pain and bought jewelry." — Rita Rudner
• "For a while we pondered whether to take a vacation or get a divorce. We decided that a trip to Bermuda is over in two weeks, but a divorce is something you always have."— Woody Allen
In how many ways can people select their favorite joke told by a woman (Rudner or Diller) and their three favorite jokes told by a man?
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Chapter 11 Solutions
MYMATHLAB F/THINKING MATHEMATICALLY>CU
- 2 Suppose that you flip a coin four times, and it comes up heads each time. Does this outcome give you reason to believe that the coin isn't legitimate? dedo Raupnu stens My be sunildes ad ndaniver uoy no grin PALO STO 2010 COMO IT COUarrow_forward10. Prove that a finite set of points Z1, Z2, Zn cannot have any accumulation points.arrow_forward6. Show that a set S is open if and only if each point in S is an interior point.arrow_forward
- 3 Consider tossing a fair coin 10 times and recording the number of heads that occur. a. How many possible outcomes would occur? b. What would be the probability of each of the outcomes? c. How many of the outcomes would have 1 head? What is the probability of 1 head in 10 flips? how d. How many of the outcomes would have o heads? What is the probability of o heads in 10 flips? e. What's the probability of getting 1 head or less on 10 flips of a fair coin?arrow_forward22 Bob decides that after his heart attack is a good time to get in shape, so he starts exer- cising each day and plans to increase his exercise time as he goes along. Look at the two line graphs shown in the following fig- ures. One is a good representation of his data, and the other should get as much use as Bob's treadmill before his heart attack. Exercise time 40 Line Graph 1 of Exercise Log 35 30- 25 201 20 Exercise time 80 80 60 40- 1 10 20 30 30 40 50 60 Day 170 50 80 Line Graph 2 of Exercise Log 1 10 20 90 100 30 30 40 50 60 70 80 90 100 Day a. Compare the two graphs. Do they repre- sent the same data set, or do they show totally different data sets? b. Assume that both graphs are made from the same data. Which graph is more appropriate and why?arrow_forward8 Suppose that a small town has five people with a rare form of cancer. Does this auto- matically mean a huge problem exists that needs to be addressed?arrow_forward
- 1 M&Ms colors come in the following percent- ages: 13 percent brown, 14 percent yellow, 13 percent red, 24 percent blue, 20 percent orange, and 16 percent green. Reach into a bag of M&Ms without looking. a. What's the chance that you pull out a brown or yellow M&M? b. What's the chance that you won't pull out a blue? swarrow_forward11. Prove or disprove: (a) If is a characteristic function, then so is ²; (b) If is a non-negative characteristic function, then so is √√4.arrow_forward17. [-/1 Points] DETAILS MY NOTES SESSCALCET2 6.2.050. Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of integration.) du 4√3- -4² Need Help? Read It SUBMIT ANSWER 18. [-/1 Points] DETAILS MY NOTES SESSCALCET2 6.2.051. Evaluate the integral. (Use C for the constant of integration.) - 49 dx x² +3 Need Help? Read It Watch It SUBMIT ANSWER 19. [-/1 Points] DETAILS MY NOTES SESSCALCET2 6.2.057. Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of integration.) 25+ x2 dxarrow_forward
- Let (5,3,-7) and = (2, -3, -6). = Compute the following: u× u = -4(u xv) ux (-4v) (+v) × v=arrow_forwardLet a = (4, -2, -7) and 6 = (2,5, 3). (ã − ò) × (ã + b) =arrow_forward4. Suppose that P(X = 1) = P(X = -1) = 1/2, that Y = U(-1, 1) and that X and Y are independent. (a) Show, by direct computation, that X + Y = U(-2, 2). (b) Translate the result to a statement about characteristic functions. (c) Which well-known trigonometric formula did you discover?arrow_forward
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