A variable that represents a numerical value associated with each outcome of a probability experiment.
What is a random variable
sum (x*p(x))
What is Mean (or Expected Value)of a discrete random variable?
The probability of selecting exactly three clubs when a card is selected from a standard deck of cards and replaced 4 times
What is 0.046875?
x: 0, 1, 2, 3, 4, 5
p(x): .002, .029, .132, .309, .360, .168
The Expected Value E(x).
What is 3.50?
The z-score for or a normally distributed population with
u=25 and sigma=5 when x=37.5
What is z=2.5?
A variable that has a finite or countable number of possible outcomes that can be listed.
What is a discrete random variable?
n*p
What is the mean of a Binomial Distribution?
The probability of selecting exactly two kings from a deck of cards with replacement when repeated 5 times.
What is 0.04654?
E(x) for a life insurance company: Gain (x) Sample Point Probability ___________________________________$290 Customer Lives .999 -$9,710 Customer Dies .001
What is $280?
The probability that x is less than 37.5 when
u=25 and sigma=5
What is 0.4938?
A variable that has an uncountable number of possible outcomes, represented by an interval on the number line.
What is a continuous random variable?
sum (x-u)^2*p(x)
What is the variance of a discrete random variable?
The Heart Association claims that only 10% of adults can pass the President's Physical Fitness challenge. This is the probability that none of the four adults pass the test
What is 0.6561?
The square root of the variance
What is the standard deviation of a discrete random variable?
The probability of x>3, given n=5 and p=.80
What is .73728?
A distribution where each possible value of the random variable is listed together with its probability.
What is a discrete probability distribution?
sqrt (sum (x-u)^2*p(x)
What is the standard deviation of a discrete random variable?
The Heart Association claims that only 10% of adults can pass the President's Physical Fitness challenge. This is the probability that 3 or 4 of the four adults pass the test
What is 0.0036?
The expected value of the probability distribution:
x: 10 20 30 40 50 60 p(x): .05 .20 .30 .25 .10 .10
What is 34.5?
The distribution that is bell-shaped and 68% of it's area is within one standard deviation from the mean
What is the Normal Distribution?
1. Has a fixed number of trials, two possible outcomes, the same probability for each trial, and x counts the number of successful trials.
What is a Binomial Experiment?
sqrt (n*p*q
What is the standard deviation of a binomial distribution?
The amount of rainfall (in inches) for each of the first 5 months of the year is 1, 3, 8, 4, and 4. What is the mean absolute deviation for the number of inches of rain for the first 5 months of the year?
What is 1.6
The Variance and Standard Deviation of the probability distribution:
x: 10 20 30 40 50 60 p(x): .05 .20 .30 .25 .10 .10
What is 174.75 and 13.219?
The probability of rolling a Yahtzee
What is .000772?