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Critical Thinking (a) Explain why -0.41 cannot be the probability of some event. (b) Explain why 1.21 cannot be the probability of some event. (c) Explain why 120% cannot be the probability of some event. (d) Can the number 0.56 be the probability of an event? Explain.

Critical Thinking (a) Explain why -0.41 cannot be the probability of some event. (b) Explain why 1.21 cannot be the probability of some event. (c) Explain why 120% cannot be the probability of some event. (d) Can the number 0.56 be the probability of an event? Explain.

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter11: Data Analysis And Displays
Section11.3: Shapes Of Distributions
Problem 14E
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Please answer number 14. All parts to the question!
### Probability and Statistics Practice Problems #### 14. Critical Thinking (a) Explain why -0.41 cannot be the probability of some event. (b) Explain why 1.21 cannot be the probability of some event. (c) Explain why 120% cannot be the probability of some event. (d) Can the number 0.56 be the probability of an event? Explain. #### 15. Probability Estimate: Wiggle Your Ears **Prompt:** Can you wiggle your ears? Use the students in your statistics class (or a group of friends) to estimate the percentage of people who can wiggle their ears. How can your result be thought of as an estimate for the probability that a person chosen at random can wiggle his or her ears? **Comment:** National statistics indicate that about 13% of Americans can wiggle their ears (Source: Bernice Kanner, *Are You Normal?*, St. Martin’s Press, New York). #### 16. Probability Estimate: Raise One Eyebrow **Prompt:** Can you raise one eyebrow at a time? Use the students in your statistics class (or a group of friends) to estimate the percentage of people who can raise one eyebrow at a time. How can your result be thought of as an estimate for the probability that a person chosen at random can raise one eyebrow at a time? **Comment:** National statistics indicate that about 30% of Americans can raise one eyebrow at a time (see source in Problem 15). #### 17. Myers–Briggs: Personality Types Isabel Briggs Myers was a pioneer in the study of personality types. The personality types are broadly defined according to four main preferences. Do married couples choose similar or different personality types in their mates? The following data give an indication (Source: I. B. Myers and M. H. McCaulley, *A Guide to the Development and Use of the Myers–Briggs Type Indicators*). **Similarities and Differences in a Random Sample of 375 Married Couples** | Number of Similar Preferences | Number of Married Couples | | ----------------------------- | ------------------------- | | All four | 34 | | Three | 131 | | Two | 124 | | One | 71 | | None | 15 | **Suppose that a married couple is selected at random.** (a) Use the data to estimate the
Transcribed Image Text:### Probability and Statistics Practice Problems #### 14. Critical Thinking (a) Explain why -0.41 cannot be the probability of some event. (b) Explain why 1.21 cannot be the probability of some event. (c) Explain why 120% cannot be the probability of some event. (d) Can the number 0.56 be the probability of an event? Explain. #### 15. Probability Estimate: Wiggle Your Ears **Prompt:** Can you wiggle your ears? Use the students in your statistics class (or a group of friends) to estimate the percentage of people who can wiggle their ears. How can your result be thought of as an estimate for the probability that a person chosen at random can wiggle his or her ears? **Comment:** National statistics indicate that about 13% of Americans can wiggle their ears (Source: Bernice Kanner, *Are You Normal?*, St. Martin’s Press, New York). #### 16. Probability Estimate: Raise One Eyebrow **Prompt:** Can you raise one eyebrow at a time? Use the students in your statistics class (or a group of friends) to estimate the percentage of people who can raise one eyebrow at a time. How can your result be thought of as an estimate for the probability that a person chosen at random can raise one eyebrow at a time? **Comment:** National statistics indicate that about 30% of Americans can raise one eyebrow at a time (see source in Problem 15). #### 17. Myers–Briggs: Personality Types Isabel Briggs Myers was a pioneer in the study of personality types. The personality types are broadly defined according to four main preferences. Do married couples choose similar or different personality types in their mates? The following data give an indication (Source: I. B. Myers and M. H. McCaulley, *A Guide to the Development and Use of the Myers–Briggs Type Indicators*). **Similarities and Differences in a Random Sample of 375 Married Couples** | Number of Similar Preferences | Number of Married Couples | | ----------------------------- | ------------------------- | | All four | 34 | | Three | 131 | | Two | 124 | | One | 71 | | None | 15 | **Suppose that a married couple is selected at random.** (a) Use the data to estimate the
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