Misc
Probability Distributions
Binomial
Geometric
WildCard
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

Decide if the graph Ms Haerr draws on the board represents a discrete or continuous random variable.

Discrete because it can be counted!

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 0.069 or 6.9%?
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

What is the earliest date our test will be on Unit 4

Tuesday 11/9

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 .46 or 46%?
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

41% of hiring managers have a negative view of employees with messy attire. You randomly select 8 hiring managers and ask them whether they have a negative view of workers with messy attire. The random variable represents the number of hiring managers who have a negative view of workers with messy attire. What is the probability that exactly 5 managers have a negative view of messy attire?

Using binomial button in Desmos graphing calc:

Binomialdist(8,0.41)

Click on 5 dot


Answer is 0.133

400

When using a formula in a calculator, what information does NOT go into the calculator

Anything prior to the equal sign


For example:

P(X=x)=(1-p)^x-1 (p)

You would NOT enter in the P(X=x)= into the calculator!

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

17 percent of people in a city eligible to donate blood actually do. You randomly select four eligible blood donors and ask them if they donate blood. 

What is the mean, variance, and standard deviation of this scenario?

Mean = np = 4 x 0.17 = 0.68

Variance = npq = 4 x 0.17 x 0.83 = 0.56

Standard Deviation = sqrt of var = 0.75

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 .018 or 1.8%?
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

What is the difference between a binomial distribution scenario and a geometric distribution scenario?

Geometric does not have a set number of trials

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