BANA Exam II Quiz Questions

According to the article in this Module, the probability of winning a prize at the in-store McDonald's Monopoly game was .25 .0000001 .0001 .1

.25

The range of probability values is 0 to infinity. minus infinity to plus infinity. 0 to 1. −1 to 1.

0 to 1.

If A and B are mutually exclusive events with P(A) = 0.1 and P(B) = 0.5, find P(A ∩ B). 0.00 0.05 0.10 0.40

0.00

If A and B are independent events with P(A) = 0.2 and P(B) = 0.2, find P(A ∩ B). 0.00 0.04 0.10 0.20

0.04

An experiment consists of four outcomes with P(E1) = 0.3, P(E2) = 0.35, and P(E3) = 0.05. Find the probability of outcome E4. 0 0.00525 0.100 0.300

0.300

If A and B are independent events with P(A) = 0.5 and P(A ∩ B) = 0.16, find P(B). 0.080 0.320 0.340 0.660

0.320

If P(A) = 0.4, P(B|A) = 0.45, P(A ∪ B) = 0.67, find P(B). 0.18 0.45 0.57 0.85

0.45

Of the last 100 customers entering a computer shop, 45 have purchased a computer. If the classical method for computing probability is used, find the probability that the next customer will purchase a computer. 0.45 0.50 0.55 1.00

0.50

If P(A) = 0.57, P(B) = 0.47, and P(A ∩ B) = 0.23, find P(A ∪ B). 0.13 0.33 0.81 1.04

0.81

If A and B are mutually exclusive events with P(A) = 0.35 and P(B) = 0.5, find P(A ∪ B). 0 0.15 0.175 0.85

0.85

Consider the experiment of selecting a playing card from a deck of 52 playing cards. A typical deck of playing cards contains cards labeled with four different suits (clubs, diamonds, hearts, spades). Each suit consists of 13 cards which include three face cards (jack, queen, king), the ace, and cards labeled 2 through 10. What is the probability of pulling a king or a spade? 0/52 1/52 16/52 17/52

16/52

From a group of seven people, two individuals are to be selected at random. How many selections are possible? 9 14 21 49

21

Which of the following is not a characteristic of the normal probability distribution? The total area under the curve is always equal to 1. 99.72% of the time the random variable assumes a value within plus or minus 1 standard deviation of its mean. The mean is equal to the median, which is also equal to the mode. symmetry

99.72% of the time the random variable assumes a value within plus or minus 1 standard deviation of its mean.

According to Perfect Payday, Jeffrey Rich was Head of the SEC a staff writer for WSJ Chairman of Vitesse Semiconductor Corp. CEO of Affiliated Computer Services

CEO of Affiliated Computer Services

Which of the following is a characteristic of an experiment where the binomial probability distribution is applicable? Exactly two outcomes are possible on each trial. The trials are dependent on each other. The experiment has at least two possible outcomes. The probabilities of the outcomes changes from one trial.

Exactly two outcomes are possible on each trial.

Which of the following statements is always true? ΣP ≥ 1 P(A) = 1 − P(A^c) −1 ≤ P(Ei) ≤ 0 P(A) + P(B) = 1

P(A) = 1 − P(A^c)

When dealing with the number of occurrences of an event over a specified interval of time or space, the appropriate probability distribution is a _____ distribution. hypergeometric probability normal binomial Poisson

Poisson

The Poisson probability distribution is used with _____ random variable. any either a continuous or discrete a discrete a continuous

a discrete

The number of customers that enter a store during one day is an example of either a continuous or a discrete random variable, depending on the gender of the customers. a continuous random variable. a discrete random variable. either a continuous or a discrete random variable, depending on whether odd or even number of the customers enter.

a discrete random variable.

Each individual outcome of an experiment is called a trial. the sample space. an event. a sample point.

a sample point.

The z score for the standard normal distribution is always equal to the mean. can be either negative or positive. is always equal to zero. can never be negative.

can be either negative or positive.

A normal probability distribution must have a standard deviation of 1 and a mean of 0. can have a mean of any numerical value. has a standard deviation of 0. needs to have a mean of 0.

can have a mean of any numerical value.

Two events with nonzero probabilities can not be both mutually exclusive and independent. can be both mutually exclusive and independent. are always mutually exclusive. are always independent.

can not be both mutually exclusive and independent.

The standard deviation of a normal distribution is always 1. can be any value. cannot be negative. is always 0.

cannot be negative.

When the assumption of equally likely outcomes is used to assign probability values, the method used to assign probabilities is referred to as the _____ method. classical probability subjective relative frequency

classical

The counting rule that is used for counting the number of experimental outcomes when n objects are selected from a set of N objects where order of selection is not important is called the rule for permutations. independent events. multiple-step experiments. combinations.

combinations.

Posterior probabilities are _____ probabilities. conditional marginal independent joint

conditional

The binomial probability distribution is used with a(n) _____ random variable. continuous discrete uniform intermittent

discrete

A random variable that can assume only a finite number of values is referred to as a(n) finite sequence discrete probability function discrete random variable infinite sequence

discrete random variable

What is a collection of sample points called? event intersection permutation union

event

A continuous probability distribution that is useful in describing the time, or space, between occurrences of an event is a(n) _____ probability distribution. Poisson normal uniform exponential

exponential

There is a lower limit but no upper limit for a random variable that follows the _____ probability distribution. normal uniform binomial exponential

exponential

What probability distribution can be described by just one parameter? binomial normal exponential uniform

exponential

The _____ probability function is based in part on the counting rule for combinations. hypergeometric Poisson uniform exponential

hypergeometric

To compute the probability that in a random sample of n elements, selected without replacement, we will obtain x successes, we would use the _____ probability distribution. exponential binomial hypergeometric Poisson

hypergeometric

An exponential probability distribution is a discrete distribution. must be normally distributed. can be either continuous or discrete. is a continuous distribution.

is a continuous distribution.

A normal probability distribution can be either continuous or discrete. must have a standard deviation of 1. is a discrete probability distribution. is a continuous probability distribution.

is a continuous probability distribution.

The probability that a continuous random variable takes any specific value is at least 0.5 depends on the probability density function is equal to zero is very close to 1.0

is equal to zero

The center of a normal curve is the mean of the distribution. cannot be negative. is always equal to zero. is the standard deviation.

is the mean of the distribution.

In a standard normal distribution, the mean and the standard deviation are both 1. mean is 0 and the standard deviation is 1. mean is 1 and the standard deviation is 0. mean and the standard deviation can have any value.

mean is 0 and the standard deviation is 1.

Events that have no sample points in common are which of the following? mutually exclusive events supplements independent events complements

mutually exclusive events

Revised probabilities of events based on additional information are _____ probabilities. posterior joint complementary independent

posterior

The function that defines the probability distribution of a continuous random variable is a uniform function either normal of uniform depending on the situation probability density function normal function

probability density function

A numerical description of the outcome of an experiment is called a random variable. descriptive statistic. probability function. variance.

random variable.

When the results of experimentation or historical data are used to assign probability values, the method used to assign probabilities is referred to as the _____ method. relative frequency classical subjective posterior

relative frequency

A method of assigning probabilities based upon judgment is referred to as the _____ method. relative probability classical subjective

subjective

The probability of an event is the _____ of the probabilities of the sample points in the event. maximum product sum minimum

sum

The highest point of a normal curve occurs at two standard deviations to the right of the mean. approximately three standard deviations to the right of the mean. the mean. one standard deviation to the right of the mean.

the mean.

A negative value of z indicates the number of standard deviations an observation is to the left of the mean. the number of standard deviations an observation is to the right of the mean. that the data has a negative mean. that a mistake has been made in computations, since z cannot be negative.

the number of standard deviations an observation is to the left of the mean.

Bayes' theorem is used to compute intersection of events. the prior probabilities. the posterior probabilities. the union of events.

the posterior probabilities.

If two events are independent, then their intersection must be zero. the sum of their probabilities must be equal to one. the product of their probabilities gives their intersection. they must be mutually exclusive.

the product of their probabilities gives their intersection.

The collection of all possible sample points in an experiment is the population. a combination. the sample space. an event.

the sample space.

A graphical method of representing the sample points of an experiment is a tree diagram. stem-and-leaf display. dot plot. stacked bar chart.

tree diagram.

Larger values of the standard deviation result in a normal curve that is skewed to the right. skewed to the left. wider and flatter. narrower and more peaked.

wider and flatter.

A probability distribution showing the probability of x successes in n trials, where the probability of success does not change from trial to trial, is termed a binomial probability distribution. normal probability distribution. hypergeometric probability distribution. uniform probability distribution.

binomial probability distribution.