Identities...
Inequality notation
set 1
set 2
100

The expected value of a binomial random variable

what is np?

100

What values of the discrete binomial variable X would be included in x < 4?

What are 0,1,2,3

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%?
200
The probability distibution that looks for the number of successes within a set number of trials.
What is a Binomial distribution?
200

Write probability x is at least 5 using probability notation?

What is P(x > 5)?

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

The probability that a telemarketing employee reaches a live person is 0.11. Suppose they call 20 people in a nigh. What is the probability that they reach 5 live people?

What is 0.043?

300

The expected value of a geometric probability distribution.

What is 1/p?

300

nC5(p)5(0.71)8

What is the mean of the distribution?

What is 3.77?

300

This is the probability that 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

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 .74 or 74%?

400
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?
400

P(x > 3) is equivalent to 1 - P(x < 3) when x represents a discrete variable. What is P(x > 7) equivalent to when x represents a discrete variable?

What is 1 - P(x < 6)?

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%?
500

The similarities of Binomial and Geometric Distribution.

What are 

-independent 

-has 2 possible outcomes

-same success for each trial


 

500

(0.53)4(0.47)

What is the mean of this distribution?

What is 1/0.47 = 2.13?

500

The probability that the football player drops a pass is .14. This is the probability that he does not drop any of the first 5 passes he is thrown.

What is 0.47 or 47%?

500

The probability of single television being defective is 14%.  Twenty randomly selected tvs are tested. The probability that at most 2 tvs are defective.

What is .455 or 45.5%?

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