Discrete or Continuous?
Name that Distribution
What Do You Expect?
Find that Probability
What are the Chances?
100
Discrete or continuous? The height, in feet, of the buildings on the Walnut Hill Campus.
What is "continuous."
100
Name the distribution: binomial, geometric, or Poisson: You roll a 6-sided die. You want to find the probability that the first time you get an even number is on the third roll.
What is "geometric."
100
For a binomial distribution, n=10 and p=0.34. What is the mean (expected value?)
What is 3.4
100
The random variable in the probability distribution represents the number of tickets that a police officer writes each day (see figure.) What is the probability that the officer writes four or five tickets in a given day?
What is 0.23?
100
34% of married U.S. residents say that their partners never help with household chores. You randomly select five married U.S. residents. What is the probability that exactly 4 of them say that their partners never help with the household chores? Round your answer to the nearest thousandth.
What is 0.044
200
Discrete or continuous?: The number of quizzes in a Statistics class in any given semester
What is "discrete."
200
Name the distribution: binomial, geometric, or Poisson: A newspaper finds that the mean number of typographical errors per page is 5. Find the probability that 7 typographical errors will be found on the page.
What is "Poisson."
200
A probability distribution has only three possible values: x=1 (p=0.3) x=2 (p=0.6) x=3 (p=0.1) What is the mean (expected value)?
What is 1.8?
200
In a recent year, 40% of trucks sold by a company had diesel engines. You randomly select four trucks sold by the company and check if they have diesel engines. Find the probability that exactly one has a diesel engine. Round your answer to the nearest thousandth.
What is 0.346
200
One in four adults is currently on a diet. You randomly select adults and ask them if they are currently on a diet. What is the probability that the first person who says "yes" is the third or fourth person? Round your answer to the nearest thousandth.
What is 0.246
300
State whether the random variable is discrete or continuous and EXPLAIN why: The volume of gas in a car's tank.
What is continuous, because the quantity is measured, not counted. (Or: it is represented by an interval on a number line, not points on a number line.)
300
Name the distribution: binomial, geometric, or Poisson, and EXPLAIN why: 68% of families say that their children have an influence on their vacation destinations. You randomly select six families. What is the probability that exactly three families say that their children have an influence on their vacation destination?
What is binomial, because there are a fixed number of trials and you are looking for the probability of a certain number of successes in that many trials.
300
A raffle sells 100 tickets at $3 each. There is one $200 prize and one $50 prize. What is the expected value of the raffle to a person who purchases one ticket?
What is -0.5 (minus 50 cents)
300
It is estimated that sharks kill an average of 10 people each year worldwide. Find the probability that exactly 8 people worldwide are killed this year by sharks. Round your answer to the nearest thousandth.
What is 0.113
300
63% of U.S. parents with school-age children choose fast food as a dining option for their families one to three times a week. You randomly select five U.S. parents with school-aged children and ask if they choose fast food as a dining option for their families one to three times a week. What is the probability that at least two of them say yes? Round your answer to the nearest thousandth.
What is 0.934
400
State whether the random variable is discrete or continuous and EXPLAIN why: The number of accidents at a given intersection each year.
What is discrete, because the variable is counted, not measured (or, the variable is represented by points on the number line, not intervals on the number line.)
400
Name the distribution: binomial, geometric, or Poisson, and EXPLAIN WHY: You flip a fair coin. What is the probability that you will get your first head within the first three tosses?
What is geometric, because you are looking for the probability of your first success on a certain trial or trials.
400
The expected value of a gambling game is -$2.50 for the player. Explain what this means.
What is "on average, if the player plays the game many, many times, he can expect to lose $2.50 per game"
400
22% of former smokers say they tried to quit four or more times before they were habit-free. You randomly select 10 former smokers. Find the probability that the first person selected who tried to quit four or more times before they were habit-free is the third person selected. Round your answer to the nearest thousandth.
What is 0.134
400
The mean number of students who come for extra help each day during X block for a certain teacher is 3. The maximum number of students that the teacher can effectively help during an X block period is 5. What is the probability that too many students will be at X block extra help for the teacher to effectively manage on a randomly selected day? Round your answer to the nearest thousandth.
What is 0.084
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