TMA: TMA1/ECO254

ECO254 – Statistics For Economist II

1 Probability distribution assigns a probability to each measurable subset of the possible outcomes of a random experiment, survey, or procedure of _____

A. statistical inference **

B. statistical calculation

C. statistical hypothesis

D. None of the above

2 A discrete probability distribution shall be understood as a probability distribution characterized by a probability ______

A. Probability function

B. discrete function

C. distribution function

D. mass function **

3 Among the most well known discrete probability distributions that are used for statistical modeling are the
A. Probablity distribution, hypothesis and binomial distribution

B. Binomial distribution, Poisson distribution and hypothesis

C. Probability distribution, Bernoulli distribution and binomial distribution

D. Poisson distribution, Bernoulli distribution, binomial distribution **

4 The discrete uniform distribution is commonly used in _____ that make equal – probability random selections between a numbers of choices.

A. Statistical analysis

B. Computer Programs **

C. Statistical hypothesis

D. all of the above

5 A _____ probability distribution is a probability distribution that has a probability density function

A. Discrete

B. binomial distribution

C. Continous **

D. all of the above

6 Lebesgue measure is the standard way of assigning a measure to a subsets of an _____

A. x distribution

B. n-dimensional distribution

C. m-dimensional volume

D. n-dimensional volume **

7 If the distribution of x is continuous, then x is called a _____

A. continuous random variable **

B. dsicrete random variable

C. movement variable

D. random varaible

8 Chi-square analysis is an example of _____ probability variable

B. Poisson

C. Continous **

D. discrete
9 In continuous probability, the cumulative distribution function should be absolutely ___

A. zero

B. continous **

C. one

D. None of the above

10 The difference between a random variable and a probability distribution is

A. A random variable does not include the probability of an event **

B. A random variable can only assume whole numbers

C. A probability distribution can only assume whole numbers

D. None of the above

11 Which of the following is not a requirement of a binomial distribution?

A. A constant probability of success

B. Only two possible outcomes

C. A fixed number of trials

D. Equally likely outcomes **

12 The mean and the variance are equal in

A. All probability distributions

B. The binomial distribution

C. The Poisson distribution **

D. The hypergeometric distribution

13 In which of the following distributions is the probability of a success usually small?

A. Binomial

B. Poisson **

C. Hyper geometric

D. All distribution

14 Which of the following is not a requirement of a probability distribution?

A. Equally likely probability of a success **

B. Sum of the possible outcomes is 1.00

C. The outcomes are mutually exclusive

D. The probability of each outcome is between 0 and 1

15 For a binomial distribution

A. n must assume a number between 1 and 20 or 25

B. p must be a multiple of .10

C. there must be at least 3 possible outcomes

D. None of the above **

16 Which of the following is a major difference between the binomial and the hypergeometric distributions?

A. The sum of the outcomes can be greater than 1 for the hyper geometric

B. The probability of a success changes in the hypergeometric distribution **

C. The number of trials changes in the hypergeometric distribution

D. The outcomes cannot be whole numbers in the hypergeometric distribution

17 In a continuous probability distribution

A. Only certain outcomes are possible

B. All the values within a certain range are possible **

C. The sum of the outcomes is greater than 1.00

D. None of the above

18 For a binomial distribution with n = 15 as p changes from .50 toward .05 the distribution will

A. Become more positively skewed **

B. Become more negatively skewed

C. Become symmetrical

D. All of the above

19 The expected value of the random variable

A. Will also be the most likely value of the random variable

B. Is another term for the mean value **

C. Is also called the variance

D. Cannot be greater than 1

20 The probability that it will rain in Lagos on wednessday is 0.88. What is the probability it will not rain in Lagos on wednessday

A. 0.012

B. 0.88

C. 1.12

D. 0.12 **

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