Probability Distributions
Binomial
Geometric
Poisson
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

This is the probability when 6 success occur in an interval and the mean number of occurrences of an event in an interval is 13.

What is 0.152 or 15.2%?

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

The average number of cars that drive by MaST any particular hour is 150. This is the probability that exactly 124 cars drive by MaST in one hour.

What is 0.0032 or 0.32%?

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

In the 2011 season Michael Vick averaged 15.8 pass completions per game. The probability that Vick completed 20, 21, or 22 passes is this.

What is 0.128 or 12.8%?

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

This is the probability that on a single page of Harry Potter, the number of words is less than 375, when the average number of words on a page in Harry Potter is 325.

What is .997 or 99.7%?

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 passes he is thrown.

What is 0.47 or 47%?

500

The average number of television shows watched in on a weekday by a typical American teenager is 4.3. This is the probability that an American teenager watches over 7 television shows per day.

What is .071 or 7.1%?

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