T1: 20 randomly selected students were asked the number of movies they watched the previous week. The results are as follows:

# of Movies	0	1	2	3	4	5
Frequency	6	3	2	3	5	1

Round all your answers to 4 decimal places where possible. The mean is: The median is: The sample standard deviation is: The first quartile is: The third quartile is: What percent of the respondents watched at least 1 movies the previous week? % 70% of all respondents watched fewer than how many movies the previous week?

3.3-10) You roll two six-sided fair dice.

a. Let A be the event that the first die is odd and the second is a 4, 5, or 6. P(A) = _______ Round your answer to four decimal places.

b. Let B be the event that the sum of the two dice is 10. P(B) = _______ Round your answer to four decimal places.

c. Are A and B mutually exclusive events?

• No, they are not Mutually Exclusive
• Yes, they are Mutually Exclusive

d. Are A and B independent events?

• They are Independent events
• They are not Independent events

3.3-13) Suppose that you have 9 green cards and 5 yellow cards. The cards are well shuffled. You randomly draw two cards without replacement.

G₁ = the first card drawn is green G₂ = the second card drawn is green

a. P(G₁ and G₂) =

b. P(At least 1 green) =

c. P(G₂|G₁) = d. Are G₁ and G₂ independent?

• They are independent events
• They are dependent events

3.3-14) Suppose that you have 8 green cards and 5 yellow cards. The cards are well shuffled. You randomly draw two cards with replacement. Round your answers to four decimal places.

G₁ = the first card drawn is green G₂ = the second card drawn is green

a. P(G₁ and G₂) =

b. P(At least 1 green) =

c. P(G₂|G₁) = d. Are G₁ and G₂ independent?

• They are independent events
• They are dependent events

3.3-15) At a drug rehab center 41%experience depression and 27%experience weight gain. 14% experience both. If a patient from the center is randomly selected, find the probability that the patient (Round all answers to four decimal places where possible.)

a. experiences neither depression nor weight gain.

b. experiences depression given that the patient experiences weight gain.

c. experiences weight gain given that the patient experiences depression. _____________ (round to 4 decimal places)

d. Are depression and weight gain mutually exclusive?

• yes
• no

e. Are depression and weight gain independent?

• yes
• no