1)  In a recent survey of college freshman, 35% of students checked the box next to “exercise regularly”, 33% checked the box next to “eat five or more servings of fruits and vegetables a day”, and 57% checked the box “neither.”  Use the appropriate probability notation in your answers to each question.

First, put student responses in the appropriate boxes of our two-way relative frequency table:

 

Exercise (E)

Totals

Eats fruit and veggies (Fv)

 

 

 

 

 

 

Totals

 

 

100%

Use the appropriate probability notation in your answers to each question.

a) What is the joint probability of randomly selecting a surveyed freshman who exercises and eats 5 servings of fruits and vegetables each day?

 

b)  What is the probability of selecting a freshman who exercises regularly or eats 5 servings of fruits and vegetables each day?

 

c)  What is the probability of a student not eating fruits or vegetables?

 

d)  What is the probability of a freshman not exercising regularly and not eating 5 servings of fruits and vegetables each day?

 

A standard deck of playing cards contains 52 cards.One card is selected from the deck.

(a) Compute the probability of randomly selecting a club or spade?

(b) Compute the probability of randomly selecting a club, spade or heart?

(c) Compute the probability of randomly selecting a three or spade?

Suppose three students are selected at random. Let A be the random 
variable representing the number of ABM students that are selected.

16. What is the probability that there will be no ABM student selected?
A. 8/27      B. 4/9      C. 19/27      D. 1

17. What is the probability that at most 2 ABM students are selected? (2 points)
A. 0      B. 0.2222      C. 0.4444      D. 0.9630

18. What is the probability that less than 2 ABM students are selected? (2 points)
A. 0.2222      B. 0.7407      C. 0.9630      D. 1

19. What is the mean of the probability distribution of the random variable A? (2 
points)
A. 0.5      B. 0.67      C. 1      D. 1.3

20. What is the variance of the probability distribution of the random variable A? (2 
points)
A. 0      B. 0.33      C. 0.44      D. 0.66

classify each of the variables as categorical (A) or numerical. If the variable is numerical, classify further as discrete (B) or continuous (C).
4. Strand                6. Students’ GWA
5. Modality            7. Students’ level of stress

For items 8-15, suppose four students are selected at random from the gathered date. Let C 
be the random variable representing the number of CBL students that are selected.

8. How many sample points can be generated from the experiment?
A. 2 B. 4 C. 16 D. 20

9. What are the values of the random variable C?
A. 0, 1, 2, 3, 4 C. 0.0625, 0.25, 0.375
B. 1, 1, 4, 4, 6 D. O and C

10. What is the probability that 2 CBL students are selected?
A. 3/16 B. 3/14 C. 3/12 D. 3/8

11. What is the probability that all students selected are OBL?
A. 0 B. 0.0625 C. 0.25 D. 1

12. What is the probability that 3 or more CBL students are selected? (2 points)
A. 0 B. 0.0625 C. 0.25 D. 0.3125

13. What is the average number of CBL students that have been selected? (2 points)
A. 1 B. 2 C. 3 D. 4

14. What is the standard deviation of the probability distribution of the number of CBL students that has been selected? (2 points)
A. 0.5 B. 0.75 C. 1 D. 1.25

Suppose three students are selected at random. Let A be the random 
variable representing the number of ABM students that are selected.

16. What is the probability that there will be no ABM student selected?
A. 8/27 B. 4/9 C. 19/27 D. 1

17. What is the probability that at most 2 ABM students are selected? (2 points)
A. 0 B. 0.2222 C. 0.4444 D. 0.9630

18. What is the probability that less than 2 ABM students are selected? (2 points)
A. 0.2222 B. 0.7407 C. 0.9630 D. 1

19. What is the mean of the probability distribution of the random variable A? (2 points)
A. 0.5 B. 0.67 C. 1 D. 1.3

20. What is the variance of the probability distribution of the random variable A? (2 points)
A. 0 B. 0.33 C. 0.44 D. 0.66