Identities...
Probability Distributions
Binomial
Geometric
Standard Deviation
100
Discrete random variables are this, unlike continuous random variables
What is countable?
100
In order for something to be a discrete probability distribution, all probabilities must be between or equal to these two values.
What are 0 and 1?
100

This is the probability of a binomial distribution where the probability of success is .34, and we are looking for exactly 5 successes out of 15 trials.

What is .214 or 21.4%?

100
This is the probability that the first success of a series of trials is on the 5th trial when the probability of success is 0.38.
What is 0.056 or 5.6%?
100

Given the mean=3.4 and SD=1, determine if 7.8 is unusual.

What is yes, it is unusual?

200
The probability distibution that looks for the number of successes within a set number of trials.
What is a Binomial distribution?
200
If you have a discrete probability distribution, all probabilities must add up to this number.
What is 1?
200

The probability that a student answered yes to the question, "Do you do your homework?", is 4 out of 7. This is the probability that out of 100 students 43 said that they do their homework.

What is 0.00147?

200

The probability that a typical bag of potato chips is under filled is 68%. This is the probability that the first bag of potato chips bought from a vending machine that is under filled is the 6th bag of chips bought.

What is 0.0022 or .22%?

200

This is how you get the standard deviation, given the variance.

What is take the square root of it?

300
The expected value of a probability distribution is equal to this.
What is the mean?
300
If the following is a discrete probability distribution, fill in the missing probability: 0 0.12 1 0.16 2 0.24 3 0.32 4 ? 5 0.05
What is 0.13?
300

The probability that one might grab an orange skittle out of a packet of skittles is 20%, if there are 24 skittles in a particular bag, this is the probability of finding at least 4 orange skittles.

What is .736?

300
This is the probability that the on a multiple choice quiz with 4 options for each question, if you randomly select answers, your first correct answer will be on the 4th question.
What is 0.105 or 10.5%?
300

How do you get variance of a binomial distribution?

V=npq

400

What kind of quantity does this describe: amount of gas in car in motion?

What is Continuous?

400
This is the expected number of tires that were under inflated when a mechanic checked the tire pressures on cars in one week, which resulted in the following probability distribution. x P(x) 0 0.3 1 0.25 2 0.25 3 0.15 4 0.05
What is 1.4 tires?
400
This is the probability that more than 7 out of 10 surgeries will be successful when the probability of having a successful surgery is 90%.
What is .93 or 93%?
400

The probability that a randomly selected Xbox fresh off the assembly line is defective is 9%. The probability that the first defective Xbox that comes off the assembly line is the 7th or 8th off the line is this.

What is .0976 or 9.76%?

400

A binomial distribution has a probability of .32 and 7 trials. What is the variance?

1.523

500
The probability distribution that looks for the of the first time a success occurs, after a number of failures.
What is a geometric probability distribution?
500
This is the mean of the probability distribution below. It describes the number of televisions per household in a small town. x P(x) 0 0.01 1 0.17 2 0.28 3 0.54
What is 2.35 tvs?
500

When the probability of single television being defective is 14%, this is the probability that, out of 20 tvs, between 8 and 13 tvs inclusive are defective.

What is .00384?

500

The probability Wes Welker, on the New England Patriots, drops a pass is .14. This is the probability that he does not drop any of the first 5 pass he is thrown.

What is 0.47 or 47%?

500

A binomial distribution has a probability of .32 and 7 trials. What is the standard deviation?

1.234

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