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Statistics Probability Distributions
Statistics Probability Distributions
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Answers
1
Which condition
is
not
a requirement for a discrete probability distribution.
The number of possible outcomes is countable or finite.
The probability for each value in the distribution must be between 0 and 1.
The probability of each value in the distribution must be identical.
The sum of all probabilities in the distribution must equal one.
2
Which equation describes the relationship between
p
and
q
in a binomial distribution?
p-q=0
p=-q
p-q=1
1-q=p
3
Which conditions
must
be satisfied for a probability experiment to be a binomial experiment? Pick all that apply.
Each trial must be independent of the other trials in the experiment.
The probability for success is the same for each trial.
A random variable, x, is used to count the number of successful trials.
The experiment must have a fixed number of trials.
The outcome for each trial is categorized as either a success or a failure.
All numeric quantities in each trial must be discrete.
4
What types of probability experiments allow for only two possible outcomes?
Independent variable experiments
Linear experiments
Binomial experiments
Continuous experiments
5
Select all choices that are examples of
random
variables.
The rate at which a stone dropped from the top of a cliff accelerates.
The amount of money Aunt Matilda wins each week at bingo.
The speed of light in a vacuum.
The distance a first putt is from the hole for each hole of miniature golf.
The color of the car parked in space 17 at the mall at noon each day.
The number of days in the month of June.
6
Which type of random variable is typically represented by an
interval
on the number line?
Neither discrete nor continuous random variables.
Both discrete and continuous random variables.
A discrete random variable.
A continuous random variable.
7
The
expected value
for a carnival game of chance is determined to be zero. What might be said about this game?
The game is a fair game.
The game is a skill game, not a chance game.
It is impossible for a player to win at this game.
No one played this carnival game.
8
True
or
False
: The expected value for a probability experiment can be negative.
True
False
9
Which formula describes the
mean
of a discrete random variable?
σ=ΔxP\left(x\right)
μ=\left(x-σ\right)^2
x=\sum_{ }^{ }\sqrt{\left(μ-σ\right)^2}
μ=\sum_{ }^{ }xP\left(x\right)
10
Which formula describes the
variance
of a discrete random variable?
σ^2=\sum_{ }^{ }\left(x-μ\right)^2P\left(x\right)
σ^2=\sqrt{\left(x-μ\right)}
P\left(x\right)=\sum_{ }^{ }μ\pi r^2
σ=μ^2P\left(x\right)
11
Select all choices that would be considered to be
continuous
random variables.
John's final score in each game of bowling.
The amount of time Gary takes to complete each statistics homework problem.
The cost of a dozen large eggs at a randomly selected grocery store.
The weight of randomly selected grocery store potato.
The number of students arriving at school each day between 7 and 7:30 AM.
The breaking distance of a car from 30 mph to 0 for different surfaces.
12
True
or
False
: The
expected value
of a discrete random variable is equal to the
mean
of that variable.
True
False
13
True
or
False
: A
successful
outcome for a trial in a binomial experiment indicates a good or positive result.
False
True
14
In a binomial experiment, what value is traditionally represented by the letter
q
?
the number of failed trials
the number of successful trials
the probability of failure for each trial
the probability of success in each trial
