EXERCISE 2.12 SCHOOL ABSENCES Background: Data collected at elementary schools in DeKalb County, GA suggest that each year roughly 25% of students miss exactly one day of school, 15% miss 2 days, and 28% miss 3 or more days due to sickness. QUESTIONS (a) What is the probability that a student chosen at random doesn't miss any days of school due to sickness this year? (b) What is the probability that a student chosen at random misses no more than one day? (c) What is the probability that a student chosen at random misses at least one day? (d) If a parent has two kids at a DeKalb County elementary school, what is the probability that neither kid will miss any school? Note any
assumption you must make to answer this question. (e) If a parent has two kids at a DeKalb County elementary school, what is the probability that both kids will miss some school, i.e. at least one day? Note any assumption you make. (f) If you made an assumption in part (d) or (e), do you think it was reasonable? If you didnt make any assumptions, double check your earlier answers. ANSWER A First, we convert the percentages that we are given into decimals: 25% is converted to 0.25 15% is converted to 0.15
28% is converted to 0.28 We can now calculate the probability that the student didnt miss any days of school by subtracting the probability that they missed one or more days from 1. The equation will be set up as follows: 1 ((the probability that the student only missed 1 day) + (the probability that the student missed 2 days) + (the probability that the student missed 3 or more days)) In mathematical terms it would be: 1 ((0.25) + (0.15) + (0.28)) = 0.32 ANSWER - B To calculate the likelihood that a student missed no more than one day we perform a function similar to Answer A. Except, in this case we want to know
whether they missed two or more days. Set the equation up as follows: 1 ((the probability that the student missed 2 days) + (the probability that the student missed 3 or more days) In mathematical terms: 1 ((0.15) + (0.28)) = 0.57 ANSWER C This question asks us the probability that a student misses at least one day. We are given the probability of students missing one day, two days, or three or more. Therefore, in order to answer the question we simply need to add those probabilities together. Solution: 0.25 + 0.15 + 0.28 = 0.68
ANSWER D This question asks what the probability the neither child misses any school. We apply the multiplication rule for independent processes. P(A and B) = P(A) x P(B) In problem A we determined the probability that a random student doesnt miss any days of school to be 0.32. We apply this to our current question P(ChildA and ChildB) = P(ChildA) x P(ChildB) =0.32 x 0.32 = 0.1024 ANSWER E This is a similar problem to D and we apply the same logic. In problem C we determined the probability of a randomly selected student missing at least on day to be 0.68. Again, we apply the multiplication rule for
independent processes to calculate our answer. It should look like this: P(ChildA and ChildB) = P(ChildA) x P(ChildB) = 0.68 x 0.68 = 0.4624 LETS GRAPH! Student Absences Percent of Students Missed 30 25 20 15
Words of the Wiser. The advice or insight a wiser character--usually older--offers about life to the main character. The main character and another are usually off by themselves in a quiet serious moment, and the wiser figure shares his wisdom...
Many species filled the same niche. A strong species had many characteristics. A wide diversity of species existed. ... Penguins are found only in the Southern Hemisphere. Fossils of tropical plants are found in Antarctica. Volcanoes encircle the Pacific Ocean.
2.7 Three Atomic Models: Greek, Planetary, & Quantum. The first model of the atom was the Greek Model of the Atom that depicted an unchangeable atom as a single small object. When scientists discovered a new, very lightweight, electrified particle...
Keeping Your Teeth and Mouth Healthy. Brushing your teeth after eating removes plaque and flossing reaches the areas the bristles of the toothbrush may not. Visit your dentist regularly. Additional ways to keep teeth healthy: Well-balanced diet.
FM Demodulator Four primary methods Differentiator with envelope detector/Slope detector FM to AM conversion Phase-shift discriminator/Ratio detector Approximates the differentiator Zero-crossing detector Frequency feedback Phase lock loops (PLL) FM Slope Demodulator Principle: use slope detector (slope circuit) as frequency discriminator...
Traditional marketing no longer works. Protecting your "Brand" Make it Personal. Testimonials are huge. Competitor Creeping. How are they getting new teams/umpires. Don't be afraid to work WITH them (segmenting the softball world - no one wins!)
Ready to download the document? Go ahead and hit continue!