Discrete Probability Distributions
Standard Normal Distributions
Nonstandard Normal Distributions
Correlation and Regression/Potpourri
Poisson Probability distributions
100
This is the expected number of times an event will occur in 58 trials, if it has a 50% probability of occurring.
What is 29?
100
This is the area of the shaded region under the curve in figure #1. (See p. 1)
What is 0.7734?
100
Given that IQ scores are distributed with a mean of 100 and a standard deviation of 15, this is the probability that a randomly selected adult has an IQ score greater than 100.
What is 50%?
100
This is the name of the term r, used to measure the strength of a linear correlation between two paired values in a sample.
What is a linear correlation coefficient? (Or simply correlation coefficient)
100
Assuming that the Poisson distribution applies, this is the probability of 3 events occurring or P(3), given that the mean is 2.
What is 0.180?
200
These are the minimum and maximum usual values when the mean is 37 and the standard deviation is 14.
What are 9 (minimum) and 65 (maximum)?
200
This is the area of the shaded region under the curve in figure #2. (See p. 2)
What is 0.9015?
200
this is the probability that a randomly selected adult has an IQ score less than 115.
What is 0.8413?
200
This is the linear correlation coefficient between the consumer price index and a slice of pizza according to table #1. (See p. 6)
What is 0.985?
200
Assuming that the Poisson distribution applies, this is the probability of 3 events occurring or P(3), given that the mean is 3/4.
What is 0.0332?
300
This is the probability, according the binomial probability table A-1, of having 5 successes in 7 trials when the probability of a success is 70%.
What is 0.318?
300
This is the area of the shaded region under the curve in figure #3. (See p. 3)
What is 0.6633?
300
This is the probability that a randomly selected adult has an IQ score greater than 75.
What is 0.9525?
300
This is the linear correlation coefficient between global temperatures at different years and carbon dioxide concentrations according to table #2. (See p. 7)
What is 0.892?
300
If Dutchess County, New York has been experiencing a mean of 35.4 motor vehicle deaths per year, this is the probability, according to a Poisson distribution, that there is 1 motor vehicle death on a given day.
What is 0.088?
400
This is the probability, according to the binomial probability formula, of getting 4 successes in 9 trials when the probability of a success is 0.32.
What is 0.282?
400
This is the indicated z-score in figure #4. (See p. 4)
What is 1.87?
400
This is the IQ score separating the top 20% from the others.
What is 112.6?
400
Find the best predicted cost of a slice of pizza when the CPI is 182.5, according to table #1. (See p. 6)
What is $1.68?
400
If Dutchess County, New York has been experiencing a mean of 35.4 motor vehicle deaths per year, this is the probability, according to a Poisson distribution, that there is more than 1 motor vehicle death on a given day.
What is 0.0044?
500
This is the standard deviation of a binomial distribution, when the number of trials is 14, and the probability of success is 0.71.
What is 1.698?
500
This is the indicated z-score in figure #5. (See p. 5)
What is -2.14?
500
This is the probability that a randomly selected adult has an IQ score between 90 and 110, referred to as the normal range.
What is 0.4972?
500
If women's height are normally distributed with mean 63.6 inches and standard deviation 2.5 inches, this is the percentage of women who are at least 5'10".
What is 0.52%?
500
In the radioactive element cesium-137, over one year, 1,000,000 radioactive atoms decayed to 977,287 radioactive atoms. This is the probability that on a given day 50 radioactive atoms decayed.
What is 0.0155?
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