The probability distribution of a discrete random variable must have outcome probabilities that are between ___ and ___ and that add up to ___.
What is 0 and 1 and 1.
100
What effect does adding a positive constant "a" to a random variable have on the mean?
What is increases the mean by "a."
100
Name all 4 conditions that a binomial random variable must meet and briefly explain each one.
What is BINS (binary, independent, number of trials, success)
100
Name all 4 conditions that a geometric random variable must meet and briefly explain each one.
What is BITS
100
What is the 10% condition? (write formula and explain)
What is n is less than or equal to 1/10 N
200
Is this an example of a discrete or continuous random variable: Record the number of red cars, x, that pass through an intersection between 5 and 6 pm on a randomly selected day.
What is discrete random variable.
200
What effect does adding a positive constant "a" to a random variable have on the standard deviation?
What is no effect.
200
What is the binomial probability formula? and What does k represent?
What is P(x=k)=(binomial coefficient) p^k(1-p)^(n-k)
k is the number of successes.
200
What is the geometric probability formula?
What is P(y=k)=(1-p)^(k-1)p
200
What is the normal condition? (write formulas and explain)
What is np is greater than or equal to 10; n(1-p) is greater than or equal to 10. At least 10 success and 10 failures expected.
300
Is this a continuous or discrete random variable? Record the average high temperature, y, in Nashville on a randomly selected day.
What is continuous random variable.
300
What effect does multiplying a random variable by a positive constant b have on the mean?
What is multiplies the mean by b.
300
What is the binomial coefficient and how is it found?
What is the number of ways of arranging k successes among n observations nCr or n!/k!(n-k)!
300
What is the formula for mean of a geometric random variable?
What is 1/p
300
What is the formula for mean of a binomial random variable?
What is mean = np
400
Find the mean (or expected value of this random variable).
Outcome #1: -$1 Probability: 20/38
Outcome #2: $1 Probability: 18/38
What is -$0.05
400
What effect does multiplying a random variable by a positive constant b have on the standard deviation?
What is multiplies the standard deviation by b.
400
A certain flower seed has an 85% change of growing. Judy gets a packet with 20 randomly selected seeds and plants them. Let x = the number of seeds that grow. Is this binomial? Explain why or why not?
What is Binomial-yes
400
A basketball player has a 70% free throw percentage. What is the probability he will not make a free throw shot until his 5th shot?
What is 0.00567
400
What is the formula for standard deviation of a binomial random variable?
What is sqrt(np(1-p))
500
The length of a human pregnancy follows a Normal distribution with mean 266 days and standard deviation 16 days. Choose a pregnant woman at random. Let x = the length of her pregnancy. Find the value "c" such that P(x>c) = 0.20.
What is 279.47
500
What part of a distribution is NEVER changed by adding, subtracting, multiplying or dividing?
What is the shape of the distribution.
500
A certain flower seed has an 85% change of growing. Judy gets a packet with 20 randomly selected seeds and plants them. Let x = the number of seeds that grow. Find the probability that exactly 17 seeds grow.
What is 0.2428
500
"1 in 6 wins" is the claim made by a soft drink company. Assuming the claim is true, find the probability that Alan will have to buy exactly 5 bottles of the soft drink in order to win a prize.
What is 0.0804
500
Half of male internet users visit eBay at least once a month. A study interviews a random sample of 500 males. Let x = the number who have visited eBay in the last month. Use a Normal distribution to estimate the probability that at least 235 of the men have visitied eBay at least once a month.