Question

Discrete Random Variables have either a finite or countable number of values.

True | |

False |

An example of continuous variables is bushels of wheat per acre.

True | |

False |

The Mean Value of a discrete probability distribution (denoted by mu is a weighted average of the x-values AND represents the average values of all possible outcomes.

True | |

False |

Explain why in a binomial probability distribution, p + q =1. Make one sentence work.

Answer #1

If a random variable can take only a finite number of distinct values, then it must be discrete. Thus, Discrete Random Variables have either a finite or countable number of values. This is a True statement.

Bushels of wheat per acre is a numerical continuous variable. This is a True statement.

The Mean Value of a discrete probability distribution is given as,

Thus, Mean Value of a discrete probability distribution is weighted average of the values that X can take, with weights provided by the probability distribution. This is a True statement.

In a binomial probability distribution, there are only two possible outcomes - success with probability p and failure with probability q. The sum of probabilities of all outcomes is 1. Thus, p + q = 1

A
discrete probability distribution uses variables that are
countable. true or false?

True or False?
19. In a binomial distribution the random variable X is
discrete.
20. The standard deviation and mean are the same for the
standard normal distribution.
21. In a statistical study, the random variable X = 1, if the
house is colonial and X = 0 if the house is not colonial, then it
can be stated that the random variable is continuous. 22. For a
continuous distribution, P(X ≤ 10) is the same as P(X<10).
23. For...

Select True or False from each pull-down menu, depending on
whether the corresponding statement is true or false.
True False
1. In the normal distribution, the
total area beneath the curve represents the probability for all
possible outcomes for a given event.
True False
2. In the normal distribution, the
mean, median, mode, and variance are all at the same position on
the horizontal axis since the distribution is symmetric.
True False
3. In the exponential distribution,
the value of ?x...

13. Examples of discrete random variables include which of the
following? (I) The number of clicks an online advertisement
receives (II) The amount of oxygen in a certain room. (III) The
number of people on a flight from LA to Australia (IV) The number
of traffic accidents on a particular stretch of I-80 in 2012
14. The expected value is essentially a _____________of the
possible outcomes for the random variable. The weights are the
corresponding probabilities for those possible outcomes....

Suppose that you have two discrete random variables X and Y with
the following joint probability distribution, which is similar to
the example in class. Fill in the marginal probabilities below.
Possible Values of X
Possible
Values
of Y
1
2
3
4
1
0
18
18
14
2
18
14
18
0
Please input the exact answer in either decimal or fraction
form.

True or False:
10. The probability of an event is a value which must be greater
than 0 and less than 1.
11. If events A and B are mutually exclusive, then P(A|B) is always
equal to zero.
12. Mutually exclusive events cannot be independent.
13. A classical probability measure is a probability assessment
that is based on relative frequency.
14. The probability of an event is the product of the probabilities
of the sample space outcomes that correspond to...

Question 1
A binomial
distribution reflects two possible outcomes, which can be denoted
as "success and failure"
True
False
1 points
Question 2
As a binomial
distribution is discrete, we can not ever use the normal
distribution?
True
False
1 points
Question 3
The text mentions that
in order to use the normal distribution for binomial distributions
that EITHER n(p) OR n(q) must be > 5.
True
False
1 points
Question 4
The reason that both
n(p) and n(q) are...

QUESTION 1 [13 MARKS]
Write down only the letter corresponding to your choice next to
the question number.
1.1. A random variable that can assume only a finite number of
values is referred to as a
a) Infinite sequence
b) Finite sequence
c) Discrete random variable
d) Discrete probability function
e) All of the above
1.2 Which one of the following statements is incorrect?
a) A data set provides information about people, objects or
other entities.
b) If the possible...

Multiple Choice
Select the best answer from the available choices for each
question.
Which of the following is NOT part of the definition of
a sample space S?
S can be discrete or continuous
Each outcome must be in S at most once
Each element in S is equally likely
Each outcome must be in S at least once
S is a set of possible outcomes in an experiment
Three A’s, three B’s, and two C’s are arranged at
random...

MATHEMATICS
1. The measure of location which is the most likely to
be
influenced by extreme values in the data set is the a. range
b.
median c. mode d. mean
2. If two events are independent, then a. they must be
mutually
exclusive b. the sum of their probabilities must be equal to one
c.
their intersection must be zero d. None of these alternatives
is
correct. any value between 0 to 1
3. Two events, A and B,...

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