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Questions 1 – 2 refer to the following: Below is the probability distribution function for the number of high school years that students at a local high school play on a sports team.
| 0 | 0.32 |
| 1 | 0.12 |
| 2 | |
| 3 | 0.18 |
| 4 | 0.14 |
What is the probability that ?
A
Over the long run, the average number of years that we would expect students at this high school to play on a sports team is:
B
According to the 2000 United States Census, 12.3% of the population is Black or African American. The probability that a randomly selected U. S. resident is NOT Black or African American is:
B
Assume the statistics final is a multiple choice test with 40 questions. Each question has four choices with one correct answer per question. If you were to randomly guess on each of the questions, what is the probability of getting exactly the expected number of correct answers?
D
In an exponential distribution, the mean is larger than the median.
A
In Fall 1999, students in one Math 10 section determined that the length of movies at the cinema was normally distributed with a mean of 148 minutes and a standard deviation of 19 minutes. Find the third quartile and interpret it.
B
Which of the following is FALSE about data that follows the normal distribution?
B
The graph showing the age of getting a driver’s license in California starts and peaks at age 16, and decreases from there. This shape most closely resembles what type of distribution?
D
Use the following information for questions 9 and 10. The amount of time that a randomly chosen 6th grade student spends on homework per week is uniformly distributed from 30 to 120 minutes.
What is the probability that a randomly chosen 6th grade student spends at least 60 minutes per week on homework knowing that he/she will spend at most 80 minutes per week on homework?
D
What is the expected amount of time that a randomly chosen 6th grade student spends on homework per week?
D
Use the following information for questions 11 and 12. The length of time a randomly chosen 9-year old child spends playing video games per day is approximately exponentially distributed with a mean equal to 2 hours.
Find the probability that a randomly chosen 9-year old will play video games at most 3 hours.
A
70% of 9-year old children will play video games per day for at most how long?
B
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