Statistical Literacy At State College all classes start on the hour, with the earliest start time at 7 A.M. and the latest at 8 P.M. A random sample of fresh- men showed the percentages preferring the listed start times. Start Time % preferring 7 or 8 A.M. 9,10, or 11 A.M. 12 or 1 P.M. 1 P.M. or later After 5 P.M. 15% 10% 35% 28% 25% Can this information be used to make a discrete probability distribution? Explain.

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### Educational Resource on Statistical Literacy

#### 1. Understanding Continuous and Discrete Variables

**Question:** Which of the following are continuous variables, and which are discrete?
   - (a) Number of traffic fatalities per year in the state of Florida
   - (b) Distance a golf ball travels after being hit with a driver
   - (c) Time required to drive from home to college on any given day
   - (d) Number of ships in Pearl Harbor on any given day
   - (e) Your weight before breakfast each morning

#### 2. Identifying Continuous and Discrete Variables

**Question:** Which of the following are continuous variables, and which are discrete?
   - (a) Speed of an airplane
   - (b) Age of a college professor chosen at random
   - (c) Number of books in the college bookstore
   - (d) Weight of a football player chosen at random
   - (e) Number of lightning strikes in Rocky Mountain National Park on a given day

#### 3. Valid Probability Distribution

**Question:** Consider each distribution. Determine if it is a valid probability distribution or not, and explain your answer.
   - Distribution (a):
     | x   | 0    | 1    | 2    |
     |-----|------|------|------|
     | P(x) | 0.25 | 0.60 | 0.15 |

   - Distribution (b):
     | x   | 0    | 1    | 2    |
     |-----|------|------|------|
     | P(x) | 0.25 | 0.60 | 0.20 |

#### 4. Discrete Probability Distribution Application

**Question:** At State College, all classes start on the hour, with the earliest start time at 7 A.M. and the latest at 8 P.M. A random sample of freshmen showed the percentages preferring the listed start times:
   - Start Time Preferences:
     | Start Time         | 7 or 8 A.M. | 9, 10, or 11 A.M. | 12 or 1 P.M. | 1 P.M. or later | After 5 P.M. |
     |--------------------|-------------|-------------------|--------------|----------------|---------------|
     | % Preferring       | 10%         | 35%
Transcribed Image Text:### Educational Resource on Statistical Literacy #### 1. Understanding Continuous and Discrete Variables **Question:** Which of the following are continuous variables, and which are discrete? - (a) Number of traffic fatalities per year in the state of Florida - (b) Distance a golf ball travels after being hit with a driver - (c) Time required to drive from home to college on any given day - (d) Number of ships in Pearl Harbor on any given day - (e) Your weight before breakfast each morning #### 2. Identifying Continuous and Discrete Variables **Question:** Which of the following are continuous variables, and which are discrete? - (a) Speed of an airplane - (b) Age of a college professor chosen at random - (c) Number of books in the college bookstore - (d) Weight of a football player chosen at random - (e) Number of lightning strikes in Rocky Mountain National Park on a given day #### 3. Valid Probability Distribution **Question:** Consider each distribution. Determine if it is a valid probability distribution or not, and explain your answer. - Distribution (a): | x | 0 | 1 | 2 | |-----|------|------|------| | P(x) | 0.25 | 0.60 | 0.15 | - Distribution (b): | x | 0 | 1 | 2 | |-----|------|------|------| | P(x) | 0.25 | 0.60 | 0.20 | #### 4. Discrete Probability Distribution Application **Question:** At State College, all classes start on the hour, with the earliest start time at 7 A.M. and the latest at 8 P.M. A random sample of freshmen showed the percentages preferring the listed start times: - Start Time Preferences: | Start Time | 7 or 8 A.M. | 9, 10, or 11 A.M. | 12 or 1 P.M. | 1 P.M. or later | After 5 P.M. | |--------------------|-------------|-------------------|--------------|----------------|---------------| | % Preferring | 10% | 35%
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