Discrete mathematics At your next birthday party, you want to have fun with your triendsseveral party games. The winner of each party game will earn an identical prize fromyour secret stash. With 5 people planning to attend your party, and 12 identicalprizes in your secret stash, how many ways can all the prizes be distributed ifeveryone gets at least one prize?Your Answer:AnswerHide hint for Question 12First imagine giving one prize to everyone. Any distribution of the remaining prizescan be represented with a bar/star chart. Count the total number of possible bar/starcharts.

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Answered: At your next birthday party, you want…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Smoking 2009, women and men In Exercise 2, we ex-amined the percentage of men aged 18–24 who smoked from 1965 to 2009 according to the Centers for DiseaseControl and Prevention. How about women? Here’s ascatterplot showing the corresponding percentages forboth men and women:a) In what ways are the trends in smoking behaviorsimilar for men and women?b) How do the smoking rates for women differ fromthose for men?c) Viewed alone, the trend for men may have seemed toviolate the Linearity Condition. How about the trendfor women? Does the consistency of the two patternsencourage you to think that a linear model for thetrend in men might be appropriate? (Note: there is nocorrect answer to this question; it is raised for you tothink about.)
Prove the property of probability
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Chi - square According to genetics theory (e.g. Mancuso, et al. 2009; doi:10.1038/nature08401), red-green colour blindness in humans is a recessive gender-linked characteristic. Theory shows that 50% of children have normal vision and are not carriers of the colour blindness gene, whilst 25% of children have normal vision and are carriers of the colour blindness gene, and 25% of children are red-green colourblind and are carriers of the colour blindness gene. A random sample of 200 children was taken with the following results: *view table down below* a) use descriptive statistics to represent the data b) test at the 1% level of significance, if the sample follows genetics theory
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Researchers are wondering whether they can predict college GPA with the number of hours studying per week. To test this, they randomly select 8 college students, record their GPA and the number of hours spent studying per week. ID GPA 1 2.5 2 2.7 3 3.4 4 3.7 5 2.7 6 1.9 7 2.0 8 4.0 Hours studying per week 25.0 Based on the information in the table above, the researchers compute the regression equation: Y = -0.970+ 0.125 X. Do the researchers have enough evidence to claim that the number of hours studying predicts students' GPA? Select the null hypothesis for the statistical test: b=0 OB=0 B = -0.970 Ob = 0.125 27.6 30.2 35.0 31.6 25.6 30.0 40.0
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Modules Section 4.1 Introduction to Probability Grades Score: 8.67/15 8/15 answered Progress saved Done Syllabus Question 6 E 0/1 pt People A group of people were asked if Marilyn Monroe had an affair with JFK. 114 responded "yes", and 340 responded "no". Student Evaluations Find the probability that if a person is chosen at random, he believes Marilyn Monroe had an affair with JFK. Probability = (Please enter a reduced fraction.) Submit Question 1094746..jpg A pic_16131095275.jpg pic 16131095275..jpg Zoomday17bsp21.docx pic_1615670389...jpg wx P N MacBool 411 20 13 FS F4 23 24 % 3 4. 5 6. 8 2 T. K D F
Researchers are wondering whether they can predict college GPA with the number of hours studying per week. To test this, they randomly select 8 college students, record their GPA and the number of hours spent studying per week. ID 1 2 3 4 5 6 7 8 GPA 2.5 2.7 3.4 3.7 2.7 1.9 2.0 4.0 O Reject Hours studying per week 25.0 Based on the information in the table above, the researchers compute the regression equation: Y = -0.970 + 0.125 X. Do the researchers have enough evidence to claim that the number of hours studying predicts students' GPA? Should you reject or fail to reject the null hypothesis? Fail to reject 27.6 30.2 35.0 31.6 25.6 30.0 40.0

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