Geom/Binom Dist.
Suppose X has a binomial distribution with n = 500 and p = .3. Find the mean and standard deviation of the distribution.
Mean =150 Standard Deviation = 10.25
The probability that a 3 year old battery works is .7 and a graphing calculator requires 4 batteries to work. Mr. Woyna finds 4 batteries that are 3 years old in the math office. What is the probability that he puts them in a calculator and it works?
.74 = binompdf(4, .7, 4) = .2401
Alexa takes random guesses on a multiple choice test in AP Bio. Each question has options a, b, c, and d. What is the average number of questions she has to answer before she gets one correct?
4
Mr. Woyna plans on racing (beating) Josh in the Lisle 5K. If Mr. Woyna averages 23 minutes with a standard deviation of 3 minutes per 5K and Josh averages 29 minutes with a standard deviation of 4 minutes per 5K. How much on average will Mr. Woyna win by?
29 - 23 = 6 minutes...
What is Mr. Woyna's favorite class to teach?
AP Stats!!!
Give all 4 conditions for binomial random variables.
BINS (Binary, Independent, "n", success rate)
The probability that a telemarketing employee reaches a person is .11. Suppose they call 20 people in a night. What is the probability that they reach 3 or less people?
binomcdf(20, .11, 3) = .829
On Alexa's multiple-choice test (4 choices per question), what is the probability that the first time she gets one right is on the 4th question if she guesses randomly?
geompdf(.25, 4) = .105
Over Zach's career, he hits the ball in a normal distribution with a mean of 200 feet and a standard deviation of 30 feet. Find the probability that a random hit will go more than 250 feet.
normalcdf(250, 10000, 200, 30) = .0478
Where did Mr. Woyna attend graduate school?
Northeastern Illinois
Give all conditions needed for a geometric distribution.
Binary, Independent, "until", Success Rate
The probability that a telemarketing employee reaches a live person is .11. Suppose they call 20 people in a night. What is the probability that they reach at least 5 people?
1 - binomcdf(20, .11, 4) = .061
Evan tends to score once out of every 3 shots he takes on goal. What is the probability that he will score within the first 5 shots of the game?
geometcdf(1/3,5) = .8683
Mr. Woyna plans on racing (beating) Josh in the Lisle 5K. If Mr. Woyna averages 23 minutes with a standard deviation of 3 minutes per 5K and Josh averages 29 minutes with a standard deviation of 4 minutes per 5K. What is their combined standard deviation?
5 minutes
What is the name of Mr. Woyna's childhood dog? (Hint: it is the name of an Ex-Bear QB)
Cutler
(n C 5) p5 (.71)8 What is n? What is P? What is mean of the distribution?
n = 13 p = .29 Mean = 3.77
It is estimated that 10% of drivers turn on their blinker before changing lanes. In a random sample of 4 drivers, what is the probability that at least one person uses his or her blinker when changing lanes?
1 - binom(4, .1, 0) = .3439
Jovan has a history of making his free throws 45% of the time. What is the probability that he will make his first free throw before his 5th try in a game?
geometcdf(.45, 4) = .908
Mr. Woyna plans on racing (beating) Josh in the Lisle 5K. If Mr. Woyna averages 23 minutes with a standard deviation of 3 minutes per 5K and Josh averages 29 minutes with a standard deviation of 4 minutes per 5K. What is the probability that their combined times will be more than an hour?
normalcdf(60, 1000, 52, 5) = .055
In what year did Mr. Woyna begin teaching at Lisle?
Fall of 2012
According to government data, 20% of employed women have never been married. 25 employed women are selected at random. Find the probability that the number of employed women who have never been married is between 1 and 6.
binomcdf(25,.2, 6) - binompdf(25, .2, 0) = .776
According to government data, 20% of employed women have never been married. 25 employed women are selected at random. Find the probability that the number of employed women who have never been married is greater than 3.
1 - binomcdf(25, .2, 3) = .766
Ian has a history of making his free throws 85% of the time. What is the probability that he will miss his first free throw on her 5th try or after in a game?
1 - geometcdf(.15, 4) = .522
Mr. Woyna plans on racing (beating) Josh in the Lisle 5K. If Mr. Woyna averages 23 minutes with a standard deviation of 3 minutes per 5K and Josh averages 29 minutes with a standard deviation of 4 minutes per 5K. What is the probability that Mr. Woyna wins?
normalcdf(-10000, 0, -6, 5) = .8849 or
normalcdf(0, 1000, 6, 5)
88.5%....
What high school did he attend?
Oak Forest HS (Home of the Bengals!!)