HW4 - Simple and Compound Probability - Katherine Rorabaugh | Library

Instructions

Mean and Standard Deviation Calculator.

1

Unless otherwise specified, answers should be formatted

1

Use the correct answer from #1 to determine this.
Which of the following are correctly formatted, reasonable answers for this assignment, which asks for probabilities? (You should have 6 things checked.)

A high school has 60 student athletes.  Some play soccer, some run cross-country, some do both, and some do neither.  The athletes are shown in the diagram below.

1

If an athlete is chosen at random, what is the likelihood that (s)he is a soccer player?

P(soccer)

1

If an athlete is chosen at random, what is the likelihood that (s)he is a soccer player or runs cross-country?

P(soccer or XC)?

1

If an athlete is chosen at random, what is the likelihood that (s)he is a soccer player and runs cross-country?

P(soccer and XC)?

1

If an athlete is chosen at random, what is the likelihood that (s)he does not play soccer?

P(not soccer)?

Aaron has 50 songs on a playlist.  Some are jazz, some are rock, some are jazz-rock fusion, and some are not jazz or rock.

1

If Aaron puts his iPod on random shuffle, what is the probability that the song playing will be jazz or rock (fusion counts)?

P(jazz or rock)?

1

If Aaron puts his iPod on random shuffle, what is the probability that the song playing will be not be jazz / jazz fusion?

P(not jazz/fusion)?

1

In a school, 62% of students are under 17 years old. In addition, 4% of students are over 18. What is the probability that a student chosen at random is under 17 and over 18?

P(under 17 and over 18)?

1

In a school, 62% of students are under 17 years old. In addition, 4% of students are over 18. What is the probability that a student chosen at random is under 17 or over 18?

P(under or over)?

1

In 195-person foreign language club, 104 people study Spanish and 85 study French, with 12 studying both. What is the probability that a student chosen at random is studying Spanish, but not French?

P(Spanish not French)?

Review:
Use the data from the table below to answer the following questions.  Round answers to two decimal places.

1

What is the mean of the data?

1

What is the standard deviation of the data?

1

What is the z-score for a data value of 5?

1

What is the margin of error for this data? Enter just the positive number rounded to two decimal places.

1

HW4 - Simple and Compound Probability

Unless otherwise specified, answers should be formatted

Use the correct answer from #1 to determine this.Which of the following are correctly formatted, reasonable answers for this assignment, which asks for probabilities? (You should have 6 things checked.)

If an athlete is chosen at random, what is the likelihood that (s)he is a soccer player?P(soccer)

If an athlete is chosen at random, what is the likelihood that (s)he is a soccer player or runs cross-country?P(soccer or XC)?

If an athlete is chosen at random, what is the likelihood that (s)he is a soccer player and runs cross-country?P(soccer and XC)?

If an athlete is chosen at random, what is the likelihood that (s)he does not play soccer?P(not soccer)?

If Aaron puts his iPod on random shuffle, what is the probability that the song playing will be jazz or rock (fusion counts)?P(jazz or rock)?

If Aaron puts his iPod on random shuffle, what is the probability that the song playing will be not be jazz / jazz fusion?P(not jazz/fusion)?

In a school, 62% of students are under 17 years old. In addition, 4% of students are over 18. What is the probability that a student chosen at random is under 17 and over 18?P(under 17 and over 18)?

In a school, 62% of students are under 17 years old. In addition, 4% of students are over 18. What is the probability that a student chosen at random is under 17 or over 18?P(under or over)?

In 195-person foreign language club, 104 people study Spanish and 85 study French, with 12 studying both. What is the probability that a student chosen at random is studying Spanish, but not French?P(Spanish not French)?

What is the mean of the data?

What is the standard deviation of the data?

What is the z-score for a data value of 5?

What is the margin of error for this data? Enter just the positive number rounded to two decimal places.

Based on the margin of error, what is the highest reasonable value for the population mean?

Use the correct answer from #1 to determine this.
Which of the following are correctly formatted, reasonable answers for this assignment, which asks for probabilities? (You should have 6 things checked.)

If an athlete is chosen at random, what is the likelihood that (s)he is a soccer player?

P(soccer)

If an athlete is chosen at random, what is the likelihood that (s)he is a soccer player or runs cross-country?

P(soccer or XC)?

If an athlete is chosen at random, what is the likelihood that (s)he is a soccer player and runs cross-country?

P(soccer and XC)?

If an athlete is chosen at random, what is the likelihood that (s)he does not play soccer?

P(not soccer)?

If Aaron puts his iPod on random shuffle, what is the probability that the song playing will be jazz or rock (fusion counts)?

P(jazz or rock)?

If Aaron puts his iPod on random shuffle, what is the probability that the song playing will be not be jazz / jazz fusion?

P(not jazz/fusion)?

In a school, 62% of students are under 17 years old. In addition, 4% of students are over 18. What is the probability that a student chosen at random is under 17 and over 18?

P(under 17 and over 18)?

In a school, 62% of students are under 17 years old. In addition, 4% of students are over 18. What is the probability that a student chosen at random is under 17 or over 18?

P(under or over)?

In 195-person foreign language club, 104 people study Spanish and 85 study French, with 12 studying both. What is the probability that a student chosen at random is studying Spanish, but not French?

P(Spanish not French)?