Statistics Questions

Convert 3 4 to a decimal

Fill in the blanks Fraction 3 8 Decimal Percent 0 25 50

Level 2 office visits are coded at a frequency of 0 26 What percentage of office visits are a Level 2 Do not enter the sign

Convert 0 4 to a percent and simplified fraction Percent Fraction

BONUS Lily frequents 1 of 2 fast food restaurants choosing McDonalds 25 of the time and Burger King 75 of the time Regardless of where she goes she buys French Fries on 60 of her visits Define the following events M Lily chooses McDonalds B Lily chooses Burger King F Lily orders French Fries A THEN P M bu bus ploc dura boos P B SHOW YOUR WORK WHAT WERE YOU THINKING WHEN YOU SOLVED EACH PROBLEM P FM P FB Photos surna din das rod pificadong ruttu WD B The next time Lily goes into a fast food restaurant what is the probability that she goes to McDonalds and orders French Fries That is find P MOF byli Imprud on0 5L older C If Lily goes to a fast food restaurant and orders French Fries what is the probability that she is at Burger King That is find P B F

16 A box contains 1 white 3 blue and 4 silver marbles TWO marbles are randomly selected without replacement Find the indicated probabilities co sull to suport ale show to zaslbisomh sib A Draw the tree diagram that represents the possibilities for the marble selections Write the probabilities along each branch of the tree zos quivoll strons M ablunchM 2980orio pod sonda z 8 in Lionenil 2rebro vdi 4 qui B Are the probabilities for the color of the second marble selected independent of the first selection Explain D What is the probability neither marble is blue C What is the probability both marbles are the same color E What is the probability that the 1st one is silver and the 2nd one is blue TORTY SCOM to local shopping mall were categorized by age and gender as shown 100

s 1 acer tre sa 14 Roll 2 fair dice Each die has 6 faces uede at you A List the sample space choose any technique for this ludy tal rell vil bor B Event A either a 3 or 4 is rolled first followed by an even number Find P A Sal Maups ei songe C Event B the sum of the 2 rolls is at most 7 Find P B D Are A and B mutually exclusive events Yes or No Explain your answer in complete sentences include numerical justification E Are A and B independent events Yes or No bin Explain your answer in complete sentences include numerical justification probabilities AL

17 One hundred shoppers at a local shopping mall were categorized by age and gender as shown in the contingency table below One shopper is selected at random from that group of 100 domins shoppers Shopper Age Groups Gender Under 25 years A1 15 24 39 Male M Female F TOTAL 25 40 years Over 40 years TOTAL A3 12 18 30 1 P A1 3 POM NA1 5 P M A1 7 P Male or 25 40 years old A2 13 18 31 40 60 100 Find the given probability problems below Use the symbolic notation such as A1 Under 25 years old M Male etc 2 P M 4 P A1 M 6 P F UA3

15 A sample space S consists of 5 events with these probabilities P E P E2 2 P E3 3 P E4 P E5 a Find the probabilities for the simple events E4 and Es P E4 b Find the probabilities for these 2 events i M E1 E3 E5 P M ii L E2 Es P L c List the events that are either in event M or event L or both 8 M or L or both P M or L d List the simple events that are in both event M and event L M and L P M and L P Es

Convert Percent Decimal 99 100 to a percent and decimal

Convert to a decimal and a percent 47 20 Decimal Percent

Convert 19 to a decimal and simplified fraction Fraction Decimal

Convert 0 73 to a fraction and percent Fraction Percent

Write as a decimal and as a percent as a decimal as a percent 1

Round 8 9357 to the nearest hundredth

13 Draw 2 cards from a standard 52 card deck with replacement Find the probability of getting at least one black card

12 A student goes to the library Let events B the student checks out a book and D the student checks out a DVD Suppose that P B 0 4 P D 3 and P DB 0 5 a P B b P D and B c P BID e P D B d P D and B

Yoni returns to the doctor to get his stitches removed from his leg Before seeing his doctor the medical assistant takes his weight The scale reads 153 3 lbs Since the medical assistant is only required to write down a whole number for his weight what do they write down in his chart

Round using the place value method Fill in the place value chart to aid your work Place 4 654 in the place value chart ones Place 5 941 in the place value chart ones ones tenths hundredths thousandths Place 5 846 in the place value chart ones tenths hundredths thousandths Place 7 753 in the place value chart ones tenths hundredths thousandths tenths hundredths thousandths Place 8 769 in the place value chart tenths hundredths thousandths Round 4 654 to the nearest tenth Round 5 941 to the nearest hundredth Round 5 846 to the nearest whole number Round 7 753 to two decimal places Round 8 769 to one decimal place

Round 2 9998 to the nearest tenth

Statis 10 A political scientist asked a group of people how they felt about 2 political policy statements Each person was to respond A agree N neutral or D disagree to each of the 2 statements A Describe the sample space that is list all the possible response possibilities to the 2 I have started the list for you statements The sample space is S AA AN B Assuming each response pair in the sample space is equally likely what is the probability that 1 the person agrees with at least one of the 2 statements 2 the person agrees with exactly one of the 2 statements P at least one P exactly one P hoth

Round 16 749 to the nearest thousand

11 Suppose an experiment has outcomes black white red orange yellow green blue and purple where each outcome has an equal chance of occurring Let event C green blue purple and event P red yellow blue Draw a Venn diagram representing this situation

Round to the nearest hundredth 248 942

II True or False 7 T or F An experiment is any activity that results in one and only one of several clearly defined possible outcomes but that does not allow us to tell in advance which of these will happ in any particular instance An event is a collection of one or more outcomes of an experiment The complement of event A consists of all outcomes that are NOT in A 8 T or F 9 T or F Irom U to nt Find the probability of

Round 9 9012 to the nearest tenth

Round 767 to the nearest ten

Round 4 710 to the nearest hundred

Round 5 60503 to the nearest tenth

A summary of home ownership statuses of loan applicants is displayed in the pie chart below rent 62 11 27 Suppose a loan is selected at random What is the probability that the applicant owns his her home What is the probability that the applicant rents What is the probability that the applicant does not have a mortgage mortgage 11 own 27

A poll showed that 64 6 of Americans say they believe that some people see the future in their dreams What is the probability of randomly selecting someone who does not believe that some people see the future in their dreams Round to 3 decimal places

ne bivariate frequency table below contains expected stats hours vs anxiety 1 to 10 scale 10 highest for a sample of 12 students from the class State your theoretical not based on the data hypothesis about the relationship between stats hours and anxiety and your reasoning briefly My theory is that people with higher anxiety will study a greater of hours positive relationship but theirs may be different Anxiety 10 1 99876543 2 1 3 1 1 4 1 5 2 6 27 2 7 1 8 9 Stats Hours 1 1 10 11 12 Extract the paired scores for each student from the table and calculate the correlation between anxiety and stats hours What can you say about the relationship between these two variables at the table Was your

Let A and B be two disjoint events such that P A 0 16 and 3 0 42 What is P A or B Your Answer 0 58 I

Bogs are inbred for such desirable characteristics as blue eye color but an unfortunate by product of such inbreeding can be the emergence of characteristics such as deafness A 1992 study of Dalmatians by Strain and others as reported in The Dalmatians Dilemma found the following i 31 of all Dalmatians have blue eyes ii 38 of all Dalmatians are deaf iii If a Dalmatian has blue eyes there is a 42 chance that it is deaf What is the probability that a randomly chosen Dalmatian is blue eyed and deaf 0 31 0 38 0 1178 0 38 0 42 0 9048 0 31 0 42 0 1302 0 38 0 42 0 1596 0 31 0 38 0 8158

1 We ask each student in a large Social Psychology course to report how many hours they study Paul studies 12 hours per week corresponding to a standard score of 2 Anne has a standard score of 4 She spends only 3 hours each week on this course From this information determine the mean and variance for the whole class a Calculate Paul s and Anne s deviation scores b If the professor insists that every student in class must study 3 extra hours per week how would this change Paul s score deviation score and standard score

A florist determines the probabilities for the number of flower arrangements they deliver each day X 19 20 21 22 23 P x 0 19 0 24 0 37 0 11 0 09 Your Answer Find the variance of the distribution rounded to 4 decimal places

The random variable X representing the number of accidents in adetain intersection in a week has the following probability distribution Your Answer 1 0 22 Amor 2 0 25 3 0 18 X 0 P X x 0 18 On average how many accidents are there in the intersection in a week Your answer should be given to 2 decimal places 4 0 09 5 0 08

Suppose a basketball team had a season of games with the following characteristics Of all the games 54 were at home games Denote this by H the remaining were away games Of all the games 47 were wins Denote this by W the remaining were losses Of all the games 31 were at home wins Of the at home games what proportion of games were wins Your answer should be rounded to 4 decimal places

Let A and B be two disjoint events such that P A 0 32 and P B What is P A and B Your Answer

Below is a probability distribution for the number of failures in an elementary statistics course X 0 1 P X x 0 42 0 18 Determine the following probability P X 3 2 Your Answer 3 0 11 0 07 4

Determine if the following could be a probability distribution for a discr random variable X If no state why X P X x 3 4 9 2 9 1 9 12 1 9 15 1 9 No the probabilities do not add up to 1 Yes the values of X are all positive No the values of X do not start at 1 and the probabilities do not add up to 1 Yes the probabilities associated with each X are all positive and they all add up

Let A and B be two independent events If P A 0 68 and P B 0 22 what is P A B Your Answer

Let A and B be two independent events such that P A 0 18 and P B 0 70 What is P A or B Your answer should be given to 4 decimal places Your Answer 0 7540

According to the information that comes with a certain prescription drug when taking this drug there is a 19 chance of experiencing nausea N and a 50 chance of experiencing decreased sexual drive D The information also states that there is a 7 chance of experiencing both side effects What is the probability of experiencing only nausea Your answer should be rounded to two decimal places Your Answer

An automobile dealer gathered data concerning the age and the type of vehicle that ased from a random sample of the people that bought vehicles from them in the past year The data is contained in the table below was Truck Car SUV 20 39 Years Your Answer 27 11 13 40 59 Years 14 19 16 60 Years and Older 10 37 Suppose a buyer is selected at random from this group what is the probability that the buyer is in the age group 40 59 and purchased an SUV Your answer should be rounded to 4 decimal places

5 2 pts You want to determine if taking vitamins has an effect on the number of colds people get You ask subjects two questions 1 Do you regularly take vitamins and 2 How many colds have you had in the last six months You record and compare these results Is this an observation or an experiment

3 2 pts An online poll showed that 25 of Americans believe that public school principals should carry firearms Does this mean that roughly one quarter of Americans think this Explain your answer

2 2 pts You wish to determine the average number of siblings everyone in our Statistics class has Describe what process you would go through to collect a sample if you use a systematic sample

1 2 pts A company that makes light bulbs would like to know what percentage of their light bulbs is defective when they leave their facilities They randomly select and test 100 of their light bulbs for defects Out of the light bulbs tested 4 of them did not work State the population and sample

4 2 pts A researcher has group listen to classical music while studying The other group studies in silence Grades are measured at end of the trial Is this a blind experiment double blind experiment or neither