# © Mark E. Damon - All Rights Reserved. 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 \$1 Million \$500,000 \$250,000 \$125,000 \$64,000 \$32,000 \$16,000 \$8,000 \$4,000.

## Presentation on theme: "© Mark E. Damon - All Rights Reserved. 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 \$1 Million \$500,000 \$250,000 \$125,000 \$64,000 \$32,000 \$16,000 \$8,000 \$4,000."— Presentation transcript:

15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 \$1 Million \$500,000 \$250,000 \$125,000 \$64,000 \$32,000 \$16,000 \$8,000 \$4,000 \$2,000 \$1,000 \$500 \$300 \$200 \$100 Welcome to Who Wants to be a Millionaire 50:50

© Mark E. Damon - All Rights Reserved 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 \$1 Million \$500,000 \$250,000 \$125,000 \$64,000 \$32,000 \$16,000 \$8,000 \$4,000 \$2,000 \$1,000 \$500 \$300 \$200 \$100

© Mark E. Damon - All Rights Reserved A:  C: standard deviation B: expected value D: average 50:50 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 \$1 Million \$500,000 \$250,000 \$125,000 \$64,000 \$32,000 \$16,000 \$8,000 \$4,000 \$2,000 \$1,000 \$500 \$300 \$200 \$100 Which one of these is NOT another name for the mean?

© Mark E. Damon - All Rights Reserved 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 \$1 Million \$500,000 \$250,000 \$125,000 \$64,000 \$32,000 \$16,000 \$8,000 \$4,000 \$2,000 \$1,000 \$500 \$300 \$200 \$100

© Mark E. Damon - All Rights Reserved A: histogram C: pie graph B: bar graph D: time plot 50:50 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 \$1 Million \$500,000 \$250,000 \$125,000 \$64,000 \$32,000 \$16,000 \$8,000 \$4,000 \$2,000 \$1,000 \$500 \$300 \$200 \$100 The following type of graph is used to represent probability distributions…

© Mark E. Damon - All Rights Reserved 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 \$1 Million \$500,000 \$250,000 \$125,000 \$64,000 \$32,000 \$16,000 \$8,000 \$4,000 \$2,000 \$1,000 \$500 \$300 \$200 \$100

© Mark E. Damon - All Rights Reserved A: to the left C: up B: to the right D: symmetrical 50:50 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 \$1 Million \$500,000 \$250,000 \$125,000 \$64,000 \$32,000 \$16,000 \$8,000 \$4,000 \$2,000 \$1,000 \$500 \$300 \$200 \$100 If the probability of success is less than.5, the graph of the distributions is skewed…

© Mark E. Damon - All Rights Reserved 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 \$1 Million \$500,000 \$250,000 \$125,000 \$64,000 \$32,000 \$16,000 \$8,000 \$4,000 \$2,000 \$1,000 \$500 \$300 \$200 \$100

© Mark E. Damon - All Rights Reserved A: the probabilities add up to 1 C: A and B B: Every possible value has a probability D: None of the above 50:50 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 \$1 Million \$500,000 \$250,000 \$125,000 \$64,000 \$32,000 \$16,000 \$8,000 \$4,000 \$2,000 \$1,000 \$500 \$300 \$200 \$100 Which of the following makes a valid probability distribution?

© Mark E. Damon - All Rights Reserved 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 \$1 Million \$500,000 \$250,000 \$125,000 \$64,000 \$32,000 \$16,000 \$8,000 \$4,000 \$2,000 \$1,000 \$500 \$300 \$200 \$100

© Mark E. Damon - All Rights Reserved A : # of kids in the class C: amount of gas in tank B: air pressure in tire D: time it takes to do HW 50:50 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 \$1 Million \$500,000 \$250,000 \$125,000 \$64,000 \$32,000 \$16,000 \$8,000 \$4,000 \$2,000 \$1,000 \$500 \$300 \$200 \$100 Which of the following is a Discrete random variable?

© Mark E. Damon - All Rights Reserved Congratulations! You’ve Reached the \$1,000 Milestone! Congratulations! C o n g r a t u l a t i o n s !

© Mark E. Damon - All Rights Reserved 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 \$1 Million \$500,000 \$250,000 \$125,000 \$64,000 \$32,000 \$16,000 \$8,000 \$4,000 \$2,000 \$1,000 \$500 \$300 \$200 \$100

© Mark E. Damon - All Rights Reserved A: # of shoes in closet C: waist size of pants in closet B: # of ties in drawer D: amount of rainfall in month 50:50 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 \$1 Million \$500,000 \$250,000 \$125,000 \$64,000 \$32,000 \$16,000 \$8,000 \$4,000 \$2,000 \$1,000 \$500 \$300 \$200 \$100 Which of the following is a Continuous Random Variable?

© Mark E. Damon - All Rights Reserved 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 \$1 Million \$500,000 \$250,000 \$125,000 \$64,000 \$32,000 \$16,000 \$8,000 \$4,000 \$2,000 \$1,000 \$500 \$300 \$200 \$100

© Mark E. Damon - All Rights Reserved A: ( 2C10)*(.3)^8*(.7)^2 C: (10C2)*(.7)^8*(.3)^2 / B: (10C2)*(.7)^2*(.3)^8 D: ( 10C2)*(.3)^2*(.7)^8 50:50 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 \$1 Million \$500,000 \$250,000 \$125,000 \$64,000 \$32,000 \$16,000 \$8,000 \$4,000 \$2,000 \$1,000 \$500 \$300 \$200 \$100 As a DUCK HUNT champion, you hit 70% of your shots. You shoot at ten ducks. Find the probability that you kill 2. Which of the following is the correct setup for P(2)?

© Mark E. Damon - All Rights Reserved 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 \$1 Million \$500,000 \$250,000 \$125,000 \$64,000 \$32,000 \$16,000 \$8,000 \$4,000 \$2,000 \$1,000 \$500 \$300 \$200 \$100

© Mark E. Damon - All Rights Reserved A:1 – P(0)-P(1)-P(2) C: P(0) + P(1)+P(2)+P(3) B: P(0)+P(1)+P(2) D:P(3) +P(4)+…P(10) 50:50 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 \$1 Million \$500,000 \$250,000 \$125,000 \$64,000 \$32,000 \$16,000 \$8,000 \$4,000 \$2,000 \$1,000 \$500 \$300 \$200 \$100 As a DUCK HUNT champion, you hit 70% of your shots. You shoot at ten ducks. Find the probability that you kill less than 3. Which of the following methods would be BEST to find the answer?

© Mark E. Damon - All Rights Reserved 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 \$1 Million \$500,000 \$250,000 \$125,000 \$64,000 \$32,000 \$16,000 \$8,000 \$4,000 \$2,000 \$1,000 \$500 \$300 \$200 \$100

© Mark E. Damon - All Rights Reserved A: P(3)+P(4)+…P(10) C: 1 – P(2)-P(1)-P(0) B: 1 – P(2)-P(1) D: P(1)+P(2)+P(3) 50:50 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 \$1 Million \$500,000 \$250,000 \$125,000 \$64,000 \$32,000 \$16,000 \$8,000 \$4,000 \$2,000 \$1,000 \$500 \$300 \$200 \$100 As a DUCK HUNT champion, you hit 70% of your shots. You shoot at ten ducks. Find the probability that you kill at least 3. Which of the following methods would be BEST to find the answer?

© Mark E. Damon - All Rights Reserved 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 \$1 Million \$500,000 \$250,000 \$125,000 \$64,000 \$32,000 \$16,000 \$8,000 \$4,000 \$2,000 \$1,000 \$500 \$300 \$200 \$100

© Mark E. Damon - All Rights Reserved A: x = 3.7 C: x = 5 B: x = 7.5 D: x = 5.55 50:50 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 \$1 Million \$500,000 \$250,000 \$125,000 \$64,000 \$32,000 \$16,000 \$8,000 \$4,000 \$2,000 \$1,000 \$500 \$300 \$200 \$100 Last year you hit 37% of your free throws. In tonight’s game, you shoot 15 free throws. How many should your coach expect you to make?

© Mark E. Damon - All Rights Reserved Congratulations! You’ve Reached the \$32,000 Milestone! Congratulations! C o n g r a t u l a t i o n s !

© Mark E. Damon - All Rights Reserved 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 \$1 Million \$500,000 \$250,000 \$125,000 \$64,000 \$32,000 \$16,000 \$8,000 \$4,000 \$2,000 \$1,000 \$500 \$300 \$200 \$100

© Mark E. Damon - All Rights Reserved A:.262 C: 7.86 B:.1052 D: 3.3447e-6 50:50 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 \$1 Million \$500,000 \$250,000 \$125,000 \$64,000 \$32,000 \$16,000 \$8,000 \$4,000 \$2,000 \$1,000 \$500 \$300 \$200 \$100 You have determined that 26.2% of Freshman are annoying. What is the probability that 10 people in your class of thirty Freshman are annoying to you?

© Mark E. Damon - All Rights Reserved 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 \$1 Million \$500,000 \$250,000 \$125,000 \$64,000 \$32,000 \$16,000 \$8,000 \$4,000 \$2,000 \$1,000 \$500 \$300 \$200 \$100

© Mark E. Damon - All Rights Reserved A: x =.03 C: x =.97 B: x =.02 D: x =.99 50:50 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 \$1 Million \$500,000 \$250,000 \$125,000 \$64,000 \$32,000 \$16,000 \$8,000 \$4,000 \$2,000 \$1,000 \$500 \$300 \$200 \$100 You have determined that 26.2% of Freshman are annoying. What is the probability that more than 3 people in your class of thirty Freshmen are annoying to you?

© Mark E. Damon - All Rights Reserved 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 \$1 Million \$500,000 \$250,000 \$125,000 \$64,000 \$32,000 \$16,000 \$8,000 \$4,000 \$2,000 \$1,000 \$500 \$300 \$200 \$100

© Mark E. Damon - All Rights Reserved A:.58 C:.18 B:.82 D:.24 50:50 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 \$1 Million \$500,000 \$250,000 \$125,000 \$64,000 \$32,000 \$16,000 \$8,000 \$4,000 \$2,000 \$1,000 \$500 \$300 \$200 \$100 You found that the probability that a dog has fleas is 76%. If you are dog sitting 12 dogs, what is the probability that no more than 10 have fleas?

© Mark E. Damon - All Rights Reserved 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 \$1 Million \$500,000 \$250,000 \$125,000 \$64,000 \$32,000 \$16,000 \$8,000 \$4,000 \$2,000 \$1,000 \$500 \$300 \$200 \$100

© Mark E. Damon - All Rights Reserved A: 16.667 C: 1.3 B: 2 D: 0.43 50:50 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 \$1 Million \$500,000 \$250,000 \$125,000 \$64,000 \$32,000 \$16,000 \$8,000 \$4,000 \$2,000 \$1,000 \$500 \$300 \$200 \$100 A survey was taken asking, “How many math classes do you have this year?” The following results were produced: # of Classes 012 # of Responses 101525 If you ask any random kid at Dunbar. How many math classes do you EXPECT he will be taking?

© Mark E. Damon - All Rights Reserved 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 \$1 Million \$500,000 \$250,000 \$125,000 \$64,000 \$32,000 \$16,000 \$8,000 \$4,000 \$2,000 \$1,000 \$500 \$300 \$200 \$100

© Mark E. Damon - All Rights Reserved A: 0.78 C: 1.3 B: 0.61 D: 0.338 50:50 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 \$1 Million \$500,000 \$250,000 \$125,000 \$64,000 \$32,000 \$16,000 \$8,000 \$4,000 \$2,000 \$1,000 \$500 \$300 \$200 \$100 A survey was taken asking, “How many math classes do you have this year?” The following results were produced: # of Classes 012 # of Responses 101525 Calculate the standard deviation for this probability distribution.