gyu assignment questions Flashcards
The number of standard deviations that a value x is from the mean is a(n) ____________.
a) z score
b) area
c) variance
d) exponential value
a) z score
The price-to-earnings ratio for firms in a given industry is distributed according to the normal distribution. In this industry, a firm with a standard normal variable value of z = 1
a) has a below average price-to-earnings ratio.
b) may have an above average or below average price-to-earnings ratio.
c) has an above average price-to-earnings ratio.
d) has an average price-to-earnings ratio.
c) has an above average price-to-earnings ratio.
A standard normal distribution has a mean of ____________ and standard deviation of ____________.
a) one, zero
b) zero, zero
c) zero, one
d) one, one
d) zero, one
In order to approximate the binomial distribution using the normal distribution, the following condition(s) must be met if p is near 1.
a) n can be as small as np > 5.
b) n > 5
c) np > 5 only
d) n must be larger than just meeting the condition of np > 5.
d) n must be larger than just meeting the condition of np > 5.
A property of continuous distributions is that
a) probabilities for continuous variables can be approximated using discrete random variables.
b) unlike discrete random variables, probabilities can be found using tables.
c) unlike discrete random variables, the probability that a continuous random variable equals a specific value is zero [P(X = x) = 0].
d) as with discrete random variables, the probability distribution can be approximated by a smooth curve.
c) unlike discrete random variables, the probability that a continuous random variable equals a specific value is zero [P(X = x) = 0].
Values of the standard normal random variable are measured
a) in squared units in which the mean is measured.
b) None of the choices is correct.
c) in the number of standard deviations from the mean.
with reference to specific units.
d) in the units in which the mean is measured.
b) None of the choices is correct.
According to data from the state blood program, 40 percent of all individuals have group A blood. Suppose that of six randomly selected individuals, three have group A blood. Would you believe the data from the state blood program?
a) Yes, probability is > .05.
b) Yes, probability is < .05.
c) No
a) Yes, probability is > .05.
One die is thrown. What is the expected value of the number of dots on the top face of the die?
a) 3.5
b) 3.0
c) 1.0
d) 4.0
a) 3.5
the expected value is the mean of random variable
A quantity equal to the average result of an experiment after a large number of trials
1(1/6) + 2(1/6) + 3(1/6) + 4(1/6) + 5(1/6) + 6(1/6)
Which of the following is a valid probability value for a discrete random variable?
a) −.7
b) .2
c) All of the choices are correct.
d) 1.01
b) .2
The probability of a discrete random variable can only be between 0 and +1.
Which one of the following statements is not an assumption of the binomial distribution?
a) The experiment consists of n identical trials.
b) Each trial results in one of two mutually exclusive
outcomes.
c) Sampling is with replacement.
d) Trials are independent of each other.
e) The probability of success remains constant from trial to trial.
c) Sampling is with replacement.
Which of the following statements about the binomial distribution is not correct?
a) The probability of success remains constant from trial to trial.
b) Trials are independent of each other.
c) Each trial results in a success or failure.
d) The experiment consists of n identical trials.
e) The random variable of interest is continuous.
e) The random variable of interest is continuous.
One die is thrown. What is the expected value of the number of dots on the top face of the die?
a) 3.5
b) 3.0
c) 1.0
d) 4.0
a) 3.5
expected value bhaye
1(1/6) + 2(1/6) + 3(1/6) + 4(1/6) + 5(1/6) + 6(1/6)
Which of the following is not a discrete random variable?
a) the number of defects in a sample selected from a population of 100 products
b) the number of criminals found in a five-mile radius of a neighborhood
c) the number of times a light changes red in a 10-minute cycle
d) the number of minutes required to run 1 mile
d) the number of minutes required to run 1 mile
If p = .5 and n = 4, then the corresponding binomial distribution is ____________.
a) right skewed
b) symmetric
c) left skewed
d) bimodal
b) symmetric
cause p = 0.5
q is also = 0.5
When p = .5, the binomial distribution will _________ be symmetric.
a) never
b) always
c) sometimes
b) always
If p = .1 and n = 5, then the corresponding binomial distribution is ____________.
a) right skewed
b) left skewed
c) symmetric
d) bimodal
a) right skewed
the closer the p is to 0, the more right skewed the binomial distribution is
if p is closer to 1, it is going to be left skewed
he binomial distribution is characterized by situations that are analogous to
a) drawing balls from an urn.
b) measuring the length of an item.
c) coin tossing.
d) counting defects on an item.
c) coin tossing
Binomial distributions assume a constant probability of success
A total of 50 raffle tickets are sold for a contest to win a car. If you purchase one ticket, what are your odds against winning?
a) 49 to 1
b) 50 to 1
c) 01
d) 05
a) 49 to 1
Probability of losing = 1 − probability of winning = 1 − 1/50 = 49/50.
The set of all possible outcomes for an experiment is called a(n) ____________.
a) event
b) probability
c) experiment
d) sample space
d) sample space
The probability model describing an experiment consists of
a) independent events.
b) sample space.
c) sample space and probabilities of the sample space outcomes.
d) probabilities of the sample space outcomes.
random variables.
e) random variables
c) sample space and probabilities of the sample space outcomes.
Consider a standard deck of 52 playing cards, a randomly selected card from the deck, and the following events: R = red, B = black, A = ace, N = nine, D = diamond, and C = club.
Are A and N mutually exclusive?
a) No, not mutually exclusive.
b) Yes, mutually exclusive.
b) Yes, mutually exclusive.
Determine whether these two events are mutually exclusive: voter who favors gun control and an unregistered voter.
a) not mutually exclusive
b) mutually exclusive
b) mutually exclusive
Consider a standard deck of 52 playing cards, a randomly selected card from the deck, and the following events: R = red, B = black, A = ace, N = nine, D = diamond, and C = club.
Are N and C mutually exclusive?
a) Yes, mutually exclusive.
b) No, not mutually exclusive.
b) No, not mutually exclusive.
A(n) _______________ probability is a probability assessment that is based on experience, intuitive judgment, or expertise.
a) objective
b) relative frequency
c) subjective
d) experimental
c) subjective
The _____________ of an event is a number that measures the likelihood that an event will occur when an experiment is carried out.
a) probability
b) outcome
c) observation
d) intersection
a) probability
Determine whether these two events are mutually exclusive: consumer with an unlisted phone number and a consumer who does not drive.
a) not mutually exclusive
b) mutually exclusive
a) not mutually exclusive
What is the probability of rolling a value higher than eight with a pair of fair dice?
a) 18/36
b) 10/36
c) 12/36
d) 8/36
e) 6/36
b) 10/36
Set up sample spaces: 36 total
10 have combination adding to more than 8
if two events are independent, we can _____________ their probabilities to determine the intersection probability.
a) multiply
b) add
c) divide
d) subtract
a) multiply
Consider a standard deck of 52 playing cards, a randomly selected card from the deck, and the following events: R = red, B = black, A = ace, N = nine, D = diamond, and C = club.
Are R and A mutually exclusive?
a) No, not mutually exclusive.
b) Yes, mutually exclusive.
a) No, not mutually exclusive.
Consider a standard deck of 52 playing cards, a randomly selected card from the deck, and the following events: R = red, B = black, A = ace, N = nine, D = diamond, and C = club.
Are R and C mutually exclusive?
a) No, not mutually exclusive.
b) Yes, mutually exclusive.
b) Yes, mutually exclusive.
A manager has just received the expense checks for six of her employees. She randomly distributes the checks to the six employees. What is the probability that exactly five of them will receive the correct checks (checks with the correct names)?
a) 1/3
b) 1/6
c) 1/2
d) 1
e) 0
e) 0
If five have received the correct check, then it follows that the sixth employee will receive the correct check. Thus, the probability that exactly five will receive the correct check is 0
The ___________ of two events A and B is the event that consists of the sample space outcomes belonging to both event A and event B.
a) complement
b) intersection
c) union
d) mutual exclusivity
b) intersection
What is the probability of rolling a seven with a pair of fair dice?
a) 8/36
b) 3/36
c) 6/36
d) 7/36
e) 1/36
c) 6/36
Set up sample spaces: 36 total
6 have combination adding to 6.
how many outcomes in a fair dice sample space?
36 outcomes in the sample space
Determine whether these two events are mutually exclusive: someone born in the United States and a US citizen.
a) not mutually exclusive
b) mutually exclusive
a) not mutually exclusive
Determine whether these two events are mutually exclusive: unmarried person and a person with an employed spouse.
a) mutually exclusive
b) not mutually exclusive
a) mutually exclusive