1. Bell Work!
How do you…?

2. Final Review Day 3

3. You have a deck of cards…
What is the probability you draw the 10 of Clubs?
What is the probability you draw a Club?

4. You have a deck of cards…
What is the probability you draw the 10 of Clubs?
1/52
What is the probability you draw a Club?
13/52

5. You have a deck of cards…
What is the probability you draw a Club, then a Diamond?
What is the probability you draw an Ace then a 4?

6. You have a deck of cards…
What is the probability you draw a Club, then a Diamond?
13/52 x 13/51
What is the probability you draw an Ace then a 4?
4/52 x 4/51

7. You have a deck of cards…
What is the probability you draw a Heart, then a black 2, then a Diamond?

8. You have a deck of cards…
What is the probability you draw a Heart, then a black 2, then a Diamond?
13/52 x 2/51 x 13/50

9. You have an urn with 8 white balls, 3 red balls, 2 green balls, and 6 yellow balls.
What is the probability you draw a white ball?
What is the probability you draw a green ball?

10. You have an urn with 8 white balls, 3 red balls, 2 green balls, and 6 yellow balls.
What is the probability you draw a white ball?
8/19
What is the probability you draw a green ball?
2/19

11. You have an urn with 8 white balls, 3 red balls, 2 green balls, and 6 yellow balls.
What is the probability you draw a green ball then a red one if you put the first one back?
What is the probability you draw a green ball then a red one if you do not put the first one back?

12. You have an urn with 8 white balls, 3 red balls, 2 green balls, and 6 yellow balls.
What is the probability you draw a green ball then a red one if you put the first one back?
2/19 x 3/19
What is the probability you draw a green ball then a red one if you do not put the first one back?
2/19 x 3/18

13. You have an urn with 8 white balls, 3 red balls, 2 green balls, and 6 yellow balls.
What is the probability you draw a white ball, then a red ball, then a green ball, then a yellow ball without replacement?

14. You have an urn with 8 white balls, 3 red balls, 2 green balls, and 6 yellow balls.
What is the probability you draw a white ball, then a red ball, then a green ball, then a yellow ball without replacement?
(8/19) x (3/18) x (2/17) x (6/16)

15. What should A and AC add to?

16. What should A and AC add to?
ONE!

17. What does it mean to be mutually exclusive or disjoint?

18. What does it mean to be mutually exclusive or disjoint?
Two events have no outcomes in common

19. P(A) = .7
P(A and B) = .3
P(A or B) = .6
What’s P(B)?

20. P(A) = .7
P(A and B) = .3
P(A or B) = .6
What’s P(B)?
.6 = .7 + B - .3
B = .2

21. P(A) = .4
P(B) = .5
P(A or B) = .3
What’s P(A and B)?

22. P(A) = .4
P(B) = .5
P(A or B) = .3
What’s P(A and B)?
.3 = – AB
.6 = AB

23. The random variable X is the number of houses sold by a realtor in a single month at a particular real estate office. Here is its probability distribution. Find the mean of the probability distribution.
a b. 1
c d. 3.6

24. The random variable X is the number of houses sold by a realtor in a single month at a particular real estate office. Here is its probability distribution. Find the mean of the probability distribution.
a b. 1
c d. 3.6

25. The random variable X is the number of pairs of shoes sold by a peddler in a single month. If each pair of shoes sells for $30, find the mean profit for the peddler.
a b. 108
c d. 30

26. The random variable X is the number of pairs of shoes sold by a peddler in a single month. If each pair of shoes sells for $30, find the mean profit for the peddler.
a b. 108
c d. 30

27. The probabilities that a batch of 4 computers will contain 0, 1, 2, 3, and 4 defective computers are , , , and , respectively. Find the mean of the probability distribution.
a b
c d. 2

28. The probabilities that a batch of 4 computers will contain 0, 1, 2, 3, and 4 defective computers are , , , and , respectively. Find the mean of the probability distribution.
a b
c d. 2

29. The systolic blood pressure of 18-year-old women is normally distributed with a mean of 120 mmHG and a standard deviation of 12 mmHG. What percentage of 18-year-old women have a systolic blood pressure that lies between 84 mmHG and 156 mmHG?
a. 68% b. 95%
c. 99.7% d. 100%

30. The systolic blood pressure of 18-year-old women is normally distributed with a mean of 120 mmHG and a standard deviation of 12 mmHG. What percentage of 18-year-old women have a systolic blood pressure that lies between 84 mmHG and 156 mmHG?
a. 68% b. 95%
c. 99.7% d. 100%

31. The lifetimes of light bulbs of a particular type are normally distributed with a mean of 360 hours and a standard deviation of 5 hours. What percentage of the bulbs have lifetimes that lie within 2 standard deviations of the mean?
a. 68% b. 95%
c. 99.7% d. 100%

32. The lifetimes of light bulbs of a particular type are normally distributed with a mean of 360 hours and a standard deviation of 5 hours. What percentage of the bulbs have lifetimes that lie within 2 standard deviations of the mean?
a. 68% b. 95%
c. 99.7% d. 100%

33. At one college, GPAs are normally distributed with a mean of 2
At one college, GPAs are normally distributed with a mean of 2.6 and a standard deviation of 0.4. What percentage of students at the college have a GPA between 2.2 and 3?
a. 68% b. 95%
c. 99.7% d. 100%

34. At one college, GPAs are normally distributed with a mean of 2
At one college, GPAs are normally distributed with a mean of 2.6 and a standard deviation of 0.4. What percentage of students at the college have a GPA between 2.2 and 3?
a. 68% b. 95%
c. 99.7% d. 100%

35. Use table A in the text to find the area that lies between 0 and 3.01.
c. –0.0013
d. –0.4987

36. Use table A in the text to find the area that lies between 0 and 3.01.
c. –0.0013
d. –0.4987

37. Use table A in the text to find the area that lies to the left of 1.13.c d

38. Use table A in the text to find the area that lies to the left of 1.13.c d

39. Use table A in the text to find the area that lies between –1
Use table A in the text to find the area that lies between –1.10 and –0.36.
a. –0.7762
b. –0.2238 c d

40. Use table A in the text to find the area that lies between –1
Use table A in the text to find the area that lies between –1.10 and –0.36.
a. –0.7762
b. –0.2238 c d

41. Use table A in the text to find the z-score for which the area under the standard normal curve to its left is 0.96. a b
c. –2.0537
d. –1.7507

42. Use table A in the text to find the z-score for which the area under the standard normal curve to its left is 0.96. a b
c. –2.0537
d. –1.7507

43. Use table A in the text to find the z-score for which the area under the standard normal curve to its left is 0.09. a b
c. –0.1130
d. –1.3408

44. Use table A in the text to find the z-score for which the area under the standard normal curve to its left is 0.09. a b
c. –0.1130
d. –1.3408

45. The diameter of bolts produced be a certain machine are normally distributed with a mean of 0.30 inches and a standard deviation of 0.01 inches. What percentage of bolts will have a diameter greater than 0.31 inches?
a. 84%
b. 68%
c. 34%
d. 16%

46. The diameter of bolts produced be a certain machine are normally distributed with a mean of 0.30 inches and a standard deviation of 0.01 inches. What percentage of bolts will have a diameter greater than 0.31 inches?
a. 84%
b. 68%
c. 34%
d. 16%

47. A multiple choice test consists of four questions
A multiple choice test consists of four questions. Each question has five possible answers of which only one is correct. A student guesses on every question. What is the probability that the student guesses them all correctly? a b
c. 0.25 d

48. A multiple choice test consists of four questions
A multiple choice test consists of four questions. Each question has five possible answers of which only one is correct. A student guesses on every question. What is the probability that the student guesses them all correctly? a b
c. 0.25 d

49. According to a college survey, 22% of all students work full time
According to a college survey, 22% of all students work full time. Find the mean for the random variable X, the number of students who work full time in samples of size 16.
a. 3.52
b. 6
c. 8 d

50. According to a college survey, 22% of all students work full time
According to a college survey, 22% of all students work full time. Find the mean for the random variable X, the number of students who work full time in samples of size 16.
a. 3.52
b. 6
c. 8 d

51. How big do np and n(1-p) have to be for the binomial to be reasonable?

52. How big do np and n(1-p) have to be for the binomial to be reasonable?15

53. What are the three criteria a problem has to meet to be binomial?

54. What are the three criteria a problem has to meet to be binomial?
Binary data – only a success or failure
p is constant (never changes)
Independent

55. I can shoot my hubby’s pistol at a bulls eye at 150 yards with 78% accuracy. He has happily set up 17 targets for me. What are the chances that I hit 6 of them?
Binompdf(17,0.78,6)
What are the chances that I hit all 17 of them?
Binompdf(17,0.78,17)