1.The probability distribution of X says how the total probability of 1 is distr

Question

1.The probability distribution of X says how the total probability of 1 is distributed among (allocated to) the various possible X values A.True B.False

2. The conditions p(x) 0 and all possible x p(x) = 1 are required of any pmf. Is this true?
A.Yes
B.No

3. The binomial random variable represents:
A.Number of trials
B.Sample size
C.Number of successes in n trials
D.Number of failures that precede the rth success

4.If the sample size (number of trials) n is at most X% of the population size, the experiment can be analyzed as though it were exactly a binomial experiment.
A.2%
B.5%
C.10%
D.15%

5.The hypergeometric random variable represents:
A.Number of trials
B.Sample size
C.Number of successes in n trials
D.Number of failures that precede the rth success

6.The negative binomial random variable represents:
A.Number of trials
B.Sample size
C.Number of successes in n trials
D.Number of failures that precede the rth success

7.X is called a negative binomial random variable because, in contrast to the binomial rv, the number of successes is fixed and the number of trials is random
A.True
B.False

8.Which distribution has a smaller variance
A.Binomial
B.Negative binomial
C.Hypergeometric
D.Poisson

9.If X has a Poisson distribution with parameter U, then E(X) = V(X) = U.
A.True
B.False

Explanation / Answer

1.The probability distribution of X says how the total probability of 1 is distributed among (allocated to) the various possible X values

A.True

2. The conditions p(x) 0 and all possible x p(x) = 1 are required of any pmf. Is this true?
A.Yes

3. The binomial random variable represents:
C.Number of successes in n trials

4.If the sample size (number of trials) n is at most X% of the population size, the experiment can be analyzed as though it were exactly a binomial experiment.
B.5%

5. The hypergeometric random variable represents:
C.Number of successes in n trials

6.The negative binomial random variable represents:
D.Number of failures that precede the rth success

7.X is called a negative binomial random variable because, in contrast to the binomial rv, the number of successes is fixed and the number of trials is random
A.True

8.Which distribution has a smaller variance
C.Hypergeometric

9.If X has a Poisson distribution with parameter U, then E(X) = V(X) = U.
A.True

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