UESTION 1 A sample of women\'s college soccer games was taken and the number of

Question

UESTION 1

A sample of women's college soccer games was taken and the number of goals scored by the winning team was recorded. The data is presented in the following frequency table. What is the probability that a winning team scored less than 3 goals?

# Goals

Frequency

1

29

2

39

3

27

4

15

5

14

6

7

2 points   

QUESTION 2

A bowl contains 15 bags of potato chips, 6 bags of pretzels and 11 bags of corn chips. If one bag is randomly selected, what is the probability that it is a bag of potato chips?

2 points   

QUESTION 3

A bowl contains 14 bags of potato chips, 8 bags of pretzels and 8 bags of corn chips. If one bag is randomly selected, what is the probability that it is a bag of pretzels or a bag of corn chips?

2 points   

QUESTION 4

A survey of students was conducted to determine what type of textbook they purchased most frequently. The results are summarized in the following table. If a student is randomly selected, what is the probability that they are a senior or purchased a used book?   

2 points   

QUESTION 5

According to a nutritionist, 76% of college students are coffee drinkers. If a college student is randomly selected, what is the probability that they do not drink coffee?

2 points   

QUESTION 6

In New York City, 37% of residents commute to work by subway. If 2 New Yorkers are randomly selected, what is the probability that they both commutes to work on the subway?

2 points   

QUESTION 7

Jillian has a workout playlist on her that has 5 songs by PitBull, 3 songs by Katy Perry, 6 songs by Beyonce and 4 songs by Pink. She uses the shuffle feature to randomly play the songs. Assuming the songs will each only play one time, what is the probability that the first three songs played are all songs by PitBull?

2 points   

QUESTION 8

A manufacturer offers sweaters in a variety of colors and a variety of styles, but not all styles are available in all of the colors. The sample space for all of the available colors is provided below. Event A is defined as the colors available for the turtleneck style and it is also provided below

S = {black, white, blue, purple, red, cream, charcoal, brown}

A = {black, white, blue, red, charcoal, brown}

Compute P(A)

Write the elements that belong in the complement of A

4 points   

QUESTION 9

A survey of students was conducted to determine what type of textbook they purchased most frequently. The results are summarized in the following table.  Given that a student is a freshman, what is the probability that they purchased a new book?

# Goals

Frequency

1

29

2

39

3

27

4

15

5

14

6

7

Explanation / Answer

Solution:-

1) The probability that a winning team scored less than 3 goals is 0.5191.

Number of team scoring less than 3 goals = 29 + 39 = 68

Total number of goals = 131

The probability that a winning team scored less than 3 goals = 68/131.

2) The probability that selected bag is of potato chips = 0.46875

Number of potato chips bags = 15

Total number of bags = 32

The probability that selected bag is of potato chips = 15/32 = 0.46875

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