Discrete Mathematics e.tex - TeXstudiolabeltiny6 of 7A class withn kids lines up for recess. The order in which the kids line up is random with eachordering being equally likely. There are two kids in the class named Betty and Mary. The use of theword "or" in the description of the events, should be interpreted as the inclusive or. That is "A or B"means that A is true, B is true, or both A and B are true.What is the probability that Betty is first in line or Mary is last in line as a function of n? Sim-plify your final expression as much as possible and include an explanation of how you calculated thisprobability.76%Pages 6 to 7 of 7

Here total number of student is n We need to find probability of both events and then we can use…

Answered: A class withn kids lines up for recess.…

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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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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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
plz answer (iv) (v) (vi) (vii)
SUBJECT: ENGINEERING DATA ANALYSIS (FAITH COLLEGES MATH 03) TOPIC: Test of Hypothesis NOTE: Make the solution detailed and clear in a sheet of paper. I NEED FULL COMPLETE SOLUTION AND CORRECT ANSWER!!! 3. In a research report, it is claimed that mice with an average life span of 32 months, will live to be about 40 months old when 40% of the calories in their food are replaced by vitamins and protein. Is there any reason to believe that μ < 40 if 64 mice that are placed on this diet have an average life span of 38 months with a standard deviation of 5.8 months? Use a P-value in your conclusion with α = 0.05.
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Subject: Discrete StructuresQuestion: You have a fever, you take the COVID-19 PCR test. For people who have COVID, the test goes positive 80% of the time. 10% the time are false positives. If 1% of the population have COVID-19, and your PCR test is positive, what are your chances that you really have COVID-19?
Understanding hypothesis tests in general: One use of a Chi-square test is to determine whether factors are independent from each other or dependent on each other. For example, consider the following: A marketer, who works for a brewery, has to promote a new beer. She samples 150 people and wants to determine whether there is an association between gender and beer preference. If there is an association, then it means that a persons beer preference can be predicted by knowing the persons gender. The results are: Beer preference Gender Light ale Lager Best bitter Total Male 20 40 20 80 Female 30 30 10 70 Total 50 70 30 150 The null hypothesis always says that the factors are independent, i.e. H0: Beer preference and Gender are independent The alternative hypothesis always says the opposite, i.e. H1: Beer preference and Gender are dependent The hypothesis test was performed at the 2.5% level of significance and the p-value was found to be 0.0149. From this you…
Statistics question
groups by cholesterol levels, high and low. In 1950 there were 1120 people in the low cholesterol group, 20 of whom were found to have had a previous heart attack. Over the next 8 years (until the end of 1958) 66 more (new) heart attacks occurred in this group. In 1950 among those in the high cholesterol group (n=1127) there were 27 that were shown to have had a previous heart attack. Over the next 8 years, (until the end of 1958) 135 new heart attacks occurred to members of this group. What was the prevalence of heart attacks in the low cholesterol group in 1950? What was the prevalence of heart attacks in the high cholesterol group in 1950? What was the incidence rate of heart attacks in the low cholesterol group from 1951 until the end of 1958?

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