Statistics Questions and Answers

2 2 5 In Example 2 2 1 let Z u X X a Find the pmf of Z say h z b Find E Z c How much on average can the young man expect win on each play if he charges 10 per play

Find the solution to the given system that satisfies the given initial condition mathbf x prime t left begin array rr 7 1 17 5 end array right mathbf x t a b c d x 0 20 X T 1 5 x 2 X 4

Transaction Date 1 11 2080 1 16 2080 1 18 2080 1 22 2080 1 24 2080 1 25 2080 Post Date 1 11 2080 1 18 2080 1 19 2080 1 23 2080 1 25 2080 1 25 2080 Transaction Description The Clothing Source Payment Thank you Huge Servings Pay Pay Pay Discounters Save Big Now The Stuff Outfiters Amount SSSS 246 73 82 24 98 69 45 23 53 46 49 35

Given the table below find a linear model that approximates the data Then predict the value of y when x 7 and the value of y when x 10 x 012345 y 5 10 13 21 33 34

47690 47440 46210 44820 44810 44110 43900 41860 39430 39000 38880 38520 38370 38370 38370 38340 37750 37720 37710 37680 37630 37610 37590 37550 37550 37550 37460 37460 37340 37270 37270 37250 36960 36740 36590 36540 36410 36360 36360 36330 32620 31460 31040 30540 30350 30250 30120 30070 30070 22950

Habitat fragmentation size of a class structured and species conservation The population is modeled in Section 8 8 In certain situations the long term growth rate of a population is given by r 1 1 8s where s is the annual survival probability of juveniles Suppose this survival probability is related to habitat area a by a function s a Determine an expression for the rate of change of growth rate with respect to a change in habitat area

Mrs Burke s chemistry class has 115 students c yesterday s work

A personnel director is interested in studying the relationship if any between age and salary Sixteen employees are randomly selected and their ages and salarie are recorded AUGES Answer Age 35 37 23 28 40 37 53 55 70 000 60 000 50 000 40 000 30 000 20 000 10 000 Ages and Salaries Salary 5 Age 43 000 62 46 000 20 000 30 000 22 000 37 000 47 000 52 000 59 53 61 29 42 59 52 Copy Data Salary vs Age 30 140 Age years Step 1 of 2 Determine the correlation coefficient Round your answer to two decimal places Salary S 57 000 60 000 48 000 53 000 30 000 37 000 56 000 47 000 Enable Zoom Pan 30 18 Tables Keypad

claims that the the check in counter records whether each business traveler checks baggage a Explain what probability 0 25 means in this setting Out of 100 people that check baggage 25 of them will actually check their baggage Does this probability say that if 100 business travelers are selected at random exactly 25 of them will check baggage Explain it doesn t explicity say that there are 100 people but it is just assumed The agent observed 6 out of 12 business travelers who checked baggage She would like to know if this outcome provides convincing evidence that greater than 25 of business travelers check baggage To help answer this question we want to perform a simulation to estimate the probability that 6 or more out of 12 business travelers will check baggage Describe how to use a random number generator to perform one repetition of the simulation Randomly select 12 business travelers pick every 3rd person you see 24 ee if they cheek in their baggage Lecord data

The figure below shows forces and moments acting on a machine component Calculate the resultant moment of the given forces and moments about the point G and write your answer in vector form note you can use the scalar method to find the moments 1 2 kip 950 lb 15 E 6 in 5 ft 6 in A 2 ft G 150 kip ft 6 in D 75 1 50 kip ft 5 ft 6 in H 3 kip 800 lb B 1 5 ft

The following table gives the average number of hours junior high students Draw a scatter plot of the given data Answer Hours Unsupervised 1 Overall Grades 100 Select a location in the chart to plot a point Points can be moved by dragging o 100

The following pair of variables has a high positive line

The following data gives the number of hours 10 students spent studying and the Hours Spent Studying 0 0 5 1 5 Midterm Grades 63 66 72 Step 1 of 3 Draw a scatter plot of the given data Answer Select a location in the chart to plot a point Points can be moved by dragging or us 99 96 93 90 87

Determine if the correlation between the ty

ermine if there is an outlier in the given data If yes plea nswer more than one outlier exists enter the values in the box s

A certain disease only affects men 20 years of age or older The chart shows the probability that a man with the disease falls in the given age group What is the probability that a randomly selected man with the disease is not between the ages of 55 and 64 Age Group Probability 20 24 25 34 35 44 45 54 55 64 65 74 75 0 004 0 006 0 14 0 29 0 32 0 17 0 07 OA 0 29 B 0 68 OC 0 32 OD 0 24

The table lists the drinking habits of a group of college students If a student is chosen at random find the probability of getting someone who is a non drinker Round your answer to three decimal places Sex Non drinker Regular Drinker Heavy Drinker Total Man 180 Woman 220 Total 400 A 0 805 OB 0 918 O C 0 195 D 1 000 135 187 322 40 21 61 5 12 17

At a particular point in time the stock market took big swings up and down A survey of 997 adult investors asked how often they tracked their portfolio The table shows the investor responses What is the probability that an adult investor tracks his or her portfolio daily Express your answer as a simplified fraction and as a decimal rounded to three decimal places How frequently Response D Couple times a year Don t track A Daily Weekly Monthly B 997 284 997 0 280 0 285 240 284 279 144 50

Fill in the blank In terms of probability a n is any process with uncertain results that can be repeated OA Outcome B Event OC Sample space OD Experiment

What is an unusual event A An event that has a negative probability B An event that has a probability of 1 OC An event that has a probability which exceeds 1 OD An event that has a low probability of occurring

If A B C and D are the only possible outcomes of an experiment find the probability of D using the table below Outcome B DD 1 Probability 10 OA B O C 1 10 3 10 7 10 A 1 10 C 1 10 www

A high school has 36 players on the football team Th

1 The ages of the nearly 4 million women who gave birth in the United States in 2010 are given i Figure 4 24 Construct a histogram to represent th data Age years 15 x 20 20 x 25 25 x 30 30 x 35 35 x 40 40 x 45 45 x 50 Number of Women thousands 355 6 942 3 1 139 9 953 5 458 4 105 9 8 0 Figure 4 24 Ages of women giving birth in 2010 Source U S Bureau of the Census

A random number generator is set to generate single digits between 0 and 9 One hundred fifty random numbers are generated The probability distribution for this random number generator is given below What is the mean of this distribution x 0 1 2 3 4 5 6 7 8 9 P x 0 09 0 12 0 11 0 08 0 09 0 13 0 10 0 07 0 10 0 11 OA 5 B 4 47 O C 7 D 6 63

A recent article in the paper claims that government ethics are at an all time low Reporting on a recent sample the paper claims that 33 of all constituents believe their state representative possesses low ethical standards Suppos 20 of a representative s constituents are randomly and independently sampled Assuming the paper s claim is correc find the probability that more than eight but fewer than 12 of the 20 constituents sampled believe their state representative possesses low ethical standards Round to six decimal places OA 0 118300 OB 0 230286 OC 0 323174 OD 0 169880

A dice game involves throwing three dice and betting on one of the six numbers that are on the dice The game costs 8 to play and you win if the number you bet appears on any of the dice The distribution for the outcomes of the game including the profit is shown below Number of dice with your number 0 1 2 3 Probability of Observing 125 216 8 75 216 10 15 216 24 1 216 Find your expected profit from playing this game Round to the nearest cent OA 8 19 O B 4 42 C 0 50 OR Profit 8 1 05 4

The sum of the probabilities of a discrete probability distribution must be which of the following OA less than or equal to zero B between zero and one O C equal to one O D greater than one

The following stem and leaf plot represents the times in

Let T ref 2 be the reflection about the line L in R2 shown in the accompanying figure 8

You roll a six sided die Find the probability of each of the following scenarios a Rolling a 4 or a number greater than 3 b Rolling a number less than 5 or an even number c Rolling a 4 or an odd number a P 4 or number 3 0 500 Round to three decimal places as needed b P 1 or 2 or 3 or 4 or 6 0 833 Round to three decimal places as needed c P 1 or 1 or 3 or 5 0 667 Round to three decimal places as needed

A population has a mean 90 and a standard deviation o 7 Find the mean and standard deviation of a sampling distribution of sample means with sample size n 49 1 Simplify your answer

The annual salary for one particular occupation is normally distributed with a mean of about 138 000 and a standard deviation of about 15 000 Random samples of 32 are drawn from this population and the mean of each sample is determined Find the mean and standard deviation of the sampling distribution of these sample means Then sketch a graph of the sampling distribution The mean is and the standard deviation is o Round to the nearest integer as needed Do not include the symbol in your answers

Find the probability and interpret the results If convenient use technology to find the probability The population mean annual salary for environmental compliance specialists is about 64 500 A random sample of 34 specialists is drawn from this population What is the probability that the mean salary of the sample is less than 61 500 Assume o 6 000 The probability that the mean salary of the sample is less than 61 500 is Round to four decimal places as needed

The accompanying table contains the overall download and upload speeds in mbps for 13 carriers Complete parts a and b below Click the icon to view the download and upload speed data a Construct a scatter plot with download speed on the X axis and upload speed on the Y axis Choose the correct scatter plot below O A Upload Speed 30 15 15 30 Download Speed 0 Q The scatter plot OB Upload Speed 30 the belief because there is 15 0 15 30 Download Speed b Researchers believe that carriers with a higher overall download speed also have a higher over relationship 0 Download and Upload Sp Carrier A B C D Download Speed 24 3 22 4 19 1 16 5 Upload Speed 13 7 12 6 8 3 11 8

A researcher decides to find out whether giving students positive reinforcement improves or impairs their grades The researcher s sample group consists of the following 8 students 0 Jack 1 Tucker 2 Susie 3 Jill 4 Charianna 5 Trey 6 Ashton 7 Jordan 35511 72581 53928 14003 60337 94777 18016 95181 90245 Which of the following represents a 5 person group selected for the treatment group using the first number in the line from a table of random numbers above A Jack Tucker Susie Jill Charianna B Jill Trey Trey Tucker Tucker C Jill Trey Tucker Jordan Susie D Susie Charianna Jack Jordan Trey

Question 5 STV 1 5 he video and answer the question liste uld Dr Vickers say the median risk of

ONE specific order b What is the probability that a child who picks the rings at random places the first two rings in the appropriate order Show Transcribed Text

3 According to statista com the number of registered voters in 1980 was 105 1 million In 2016 it a Find the yearly growth factor for the number of registered voters from 1980 2016 Round to the was 157 6 million nearest hundredth Hint note the number of years b What is the yearly growth rate in percent c Create an exponential function V to determine the number of registered voters since 1980 d According to the function V if the trend continues how many registered voters would there be in 20242 e Is the answer given in part d reasonable Justify your choice in a complete sentence check online data to support your conclusion

AT1800 Business Statistics SP1 2023 Homework Assignment 7 Correlation and Regression updated estion list Question 1 Question 2 Question 2 K An agent for a residential real estate company in a suburb goal the agent would like to use the size of an apartment Complete parts a through f 0

5 Here is a table showing the auction prices of a collection of very rare paint by number reproductions of Jackson Pollock paintings Price Number sold 0 1 000 2 000 3 000 4 000 999 1999 2 999 3 999 4 999 2 0 1 3 4 Calculate the relative frequency of the given event E in each case a A painting is auctioned for between 2 000 and 5 000 b A painting is auctioned for at least 2 000 c A painting is not auctioned for between 2 000 and 4 999 5 000

ical and is Quiz Question 10 of 21 You are asked to compare three data sets Without standard deviation and which has the least sample Click here to view the data sets

cal and Quiz Question The mean score of a competency te percentage of scores between 66 a

2 Consider the following chart which shows the way in which a dog m muscles when torn between the drives of fight and flight The fight d from left to right the flight drive increases from top to bottom Notic in the fight drive causes the dog s upper lip to lift while an increase in draws its ears downward Increasing Flight Drive 4 Increasing Fight Drive www 8 Source On Aggression by Konrad Lorenz Fakenham Norfolk University Paperback Wyman Limited 1967 Let E be the event that the dog s flight drive is strongest let F be the event that the dog s fli weakest let G be the event that the dog s fight drive is strongest and let H be the event that drive is weakest Describe the following events in terms of E F G and H using the sumh 0 25 points each

raphical and alysis Quiz K O A Key 0 9 0 9 0 9 Question 3 of 21 Match the description of the sample with the correct plot Time in minutes it takes a sample of employees to driv

il and Quiz Question 17 of 21 Many firms use on the job training to teach their em department of a firm that just finished training a gro performance of one of the trainees on the final test scores are 70 and 4 respectively and the distributio FO

K Use the given frequency distribution to find the a class width b class midpoint of the first class c class boundaries of the first class a 2 O A b 51 5 c 50 52

I and Quiz Que What are two commonly used grap

and Quiz Questic A student receives test scores of 62 83 worth 20 of the final grade the final ex the student s final grade in the class

nd uiz Question The birth weights for twins are normally d

and Quiz Questio The mean IQ score of adults is 100 with scores between 70 and 130 Assume th