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- 1. Multiple ChoiceA random variable isa hypothetical list of the possible outcomes of a random phenomenon.any phenomenon in which outcomes are equally likely.any number that changes in a predictable way in the long run.a variable whose value is a numerical outcome associated with a random phenomenon.
- 2. Multiple ChoiceWhich of the following is not a random variable?The heights of randomly-selected buildings in New York City.The suit of a card randomly-selected from a 52-card deck.The number of children in randomly-selected households in the United States.The amount of money won (or lost) by the next person to walk out of a casino in Las Vegas.
- 3. Multiple Choice
The number of runs scored by the Kansas City Royals in the last game of the World Series.
Discrete
Continuous
- 4. Multiple Choice
The amount of snow that falls in Brooklyn each February.
Discrete
Continuous
- 5. Multiple Choice
The weight of a newborn infant.
Discrete
Continuous
- 6. Multiple Choice
Which of the following is discrete data?
Sammy is 160 cm tall.
Sammy ran 100 m in 10.2 sec.
Sammy weighs 60 kg.
Sammy has 2 brothers and 1 sister.
- 7. Multiple Choice
Which of the following is NOT discrete data?
The average life span of a human in the US is 79 years.
A woman in the US has 2 children on average.
The possible outcomes from rolling a die.
Classes at BPCS have between 20 and 30 students.
- 8. Multiple Choice
Find the value of p.
p = 0.11
p = 0.21
p = –0.89
- 9. Multiple Choice
What is the expected value of the random discrete value X?
E(X) = 84.4
E(X) = 85
E(X) = 1
- 10. Multiple Choice
The table represents the probability of randomly guessing correctly on a 5 question true-false quiz. What is the expected value of correct answers on the quiz?
E(X) = 1
E(X) = 2.5
E(X) = 3.91
- 11. Multiple Choice
What is the expected value for the discrete variable X?
E(X) = 3/16
E(X) = 5/4
E(X) = 7/4
- 12. Multiple Choice
A marketing survey compiled data on the number of cars in households. If X = the number of cars in a randomly selected household, and we omit the rare cases of more than 5 cars, then X has the following probability distribution:
X 0 1 2 3 4 5
P(X) 0.24 0.37 0.20 0.11 0.05 0.03
What is the probability that a randomly chosen household has at least two cars?
0.20
0.29
0.39
0.61
- 13. Multiple Choice
The random variable X has probability distribution shown above. Given E(X) = 17/3, find x and y.
x = 3/8, y = 1/8
x = 1/6, y = 1/6
x = 1/6, y = 1/3
x = 1/2, y = 1/2
- 14. Multiple Choice
A 'Fibonacci dice' is unbiased, six-sided and labeled with these numbers: 1, 2, 3, 5, 8, 13. What is the expected score when die is rolled?
E(X) = 16/3
E(X) = 4
E(X) = 32
- 15. Multiple Choice
The discrete random variable X has probability distribution p(x) = x/36 for x = 1, 2, 3, ..., 8. Find E(X).
E(X) = 17/3
E(X) = 7/2
E(X) = 9/2
E(X) = 1
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