A sample of women\'s college soccer games was taken and the number of goals scor

Question

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   

2 points   

2 points   

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   

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   

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   

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   

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}

4 points   

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

Question 1:

Total frequency = 29 + 39 + 27 + 15 + 14 + 7 = 131

Therefore probability that winning team scored less than 3 goals is computed as:

= ( Frequency that winning team scored less than 3 goals ) / Total frequency

= ( 29 + 39 ) / 131

= 0.5191

Therefore 0.5191 is the required probability here.

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