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1)A random variable represents the outcome of an experiment

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1)A random variable represents the outcome of an experiment.

 

 

 

 

2) The probability of a particular outcome must always be between 0.0 and 1.0 inclusive.

3) The random variable for a Poisson probability distribution can assume an infinite number of values.

4) A probability distribution is a mutually exclusive and collectively exhaustive listing of experimental outcomes that can occur by chance, and their corresponding probabilities.

5) To construct a binomial probability distribution, the mean must be known.

6) To construct a binomial distribution, it is necessary to know the total number of trials and the probability of success on each trial.

7) The mean of a probability distribution is called its expected value.

8) The variance of a probability distribution is based on the sum of squared differences from the mean multiplied by the probability of X.

9) The variance measures the skewness of a probability distribution.

10) The mean of a binomial distribution is the product of n and π.

11) The variance of a binomial distribution is found by nπ(1 − π).

12) In a Poisson distribution, the probability of success may vary from trial to trial.

13) The binomial probability distribution is always negatively skewed.

14) When sampling is done without replacement from a finite population and the outcomes are measured as either a success or failure, the hypergeometric distribution should be applied.

15) As a general rule of thumb, if the items selected for a sample are not replaced and the sample size is less than 5% of the population, the binomial distribution can be used to approximate the hypergeometric distribution.

 

 

Multiple Choice

16) Which is true for a binomial distribution?

A) There are 10 or more possible outcomes.

B) The probability of success remains the same from trial to trial.

C) The value of π is equal to 1.50.

D) It approximates the Poisson distribution.

 

17) Which shape describes a Poisson distribution?

A) Positively skewed

B) Negatively skewed

C) Symmetrical

D) All of these answers are correct.

 

18) What kind of distributions are the binomial and Poisson probability distributions?

A) Discrete

B) Continuous

C) Both discrete and continuous

D) Neither discrete or continuous

 

19) Which of the following is correct about a probability distribution?

A) The sum of all possible outcomes must equal 1.0.

B) The outcomes must be mutually exclusive.

C) The probability of each outcome must be between 0.0 and 1.0 inclusive.

D) All of these answers are correct.

 

20) Data show that the weight of an offensive linesman may be any weight between 200 and 350 pounds. The distribution of weight is based on a ________.

A) Continuous random variable

B) Discrete random variable

C) Qualitative variable

D) All of these answers are correct.