Probability/Binomial
What is the mathematical representation of the complementation rule?
p(A) + p(¬A) = 1
Which of the following is true for a data set exhibiting a Poisson distribution?
Mean and variance are equal.
The symbolism A~N(5,12) is shorthand for which of the following?
The data set "A" has a normal distribution with a mean value of 5 and a variance of 12.
If a population exhibits a skew of 0.38 and a kurtosis of 3.54 which of the following is true.
(A) The distribution of population values is left skewed and platykurtic.
(B) The distribution of population values is left skewed and leptokurtic.
(C) The distribution of population values is right skewed and leptokurtic.
C
What is an accurate mathematical description of “independent” and “mutually exclusive”?
A and B are independent if p(A) = p(A|B) and mutually exclusive if p(A and B) = 0.
Which of the following is NOT generally true for a data set exhibiting a Poisson distribution?
(A) Distribution has a long tail to the right.
(B) Median and variance are equal.
(C) Median is less than the mean.
B
consider a population of 900 data values that exhibits a normal distribution and has a mean of 40 with standard deviation of 4.
What is the variance of this data set?
16
In general, the presence or absence of outliers has the most effect on the consistency of which of the following statistics?
Variance
What is an assumption of the Binomial Distribution?
there is only one outcome for each trial, that each trial has the same probability of success, and that each trial is mutually exclusive or independent of one another.
Which of the following sets of data most likely exhibits a Poisson distribution?
(A) The number of victories the LA Lakers have each year.
(B) The mean temperature of California on June 5th each year.
(C) The number of major earthquakes in California each year.
C
consider a population of 900 data values that exhibits a normal distribution and has a mean of 40 with standard deviation of 4.
What is the Z value for the data set value of 45?
1.25
If a population exhibits a skew of 0.38 and a kurtosis of 3.54 which of the following is true.
(A) The population mean exceeds the median.
(B) The population median exceeds the mean.
(C) The population standard deviation exceeds the variance.
A
What is NOT an assumption required in order for a distribution of observations to have a binomial distribution?
Each trial is dependent on some of the others
When studying a potential Poisson process, we can calculate the coefficient of _____ for the data. If this value is less than one, we would say the distribution is _____ whereas if it is more than one, we would say that this distribution is _____ .
dispersion ... uniform ... clumped
Consider a population of 900 data values that exhibits a normal distribution and has a mean of 40 with standard deviation of 4.
How many values in the data set are larger than 36?
757
Which of the following is NOT a measurement of location?
(A) Z-Score (B) Mean (C) Median
(D) Mid-range (E) Mode
A
40 cobras 25 milk snakes 20 rattlesnakes 10 pythons
What is the probability that if you choose 7 random snakes (with replacement) you will get 4 venomous and 3 non- venomous snakes?
(cobras and rattlesnakes are venomous, milk snakes and pythons are non-venomous )
p(4V, 3NV) = 0.278
Cameras record 3 flights per hour.
What is the value closest to the probability of our camera recording 3 or more flights in an hour?
0.58
Consider a population of 900 data values that exhibits a normal distribution and has a mean of 40 with standard deviation of 4.
Which of the following is closest to the IQR for this data set?
5.3
What is the Z-distribution a measure of? How does it relate to probability?
The z-distribution describes the number of standard deviations away from the mean of a dataset a value can be. We can look for the z-score given a probability and look for a probability with a calculated z-score.