1: U B A 2 3 4 1 Draw a Venn Diagram and use the given information to fill in the number of elements for each region, show works: Region 1 has: ____ elements Region 2 has:_____ elements Region 3 has: ____ elements Question 2: Use the table to find the probabilities that a person's total changes during the period are the following This table shows the probabilities of a person accumulating specific amounts of credit card charges over a 12-month period CHARGES PROBABILITIY Under $100.000 0.33 $100 - $499 0.19 $500 - $999 0.14 $1000 - $1999 0.13 $2000 - $2999 0.06 $3000 - $4999 0.08 $5000 - $5999 0.06 $10 000 or more 0.01 What is the probability that a person's total charges are $2000 or more? Show works What is the probability that a person's total charges are less than $1000? Show works What is the probability that a person's total charges are $500 to $9999? Show works Question 3: A marble is selected at random from a jar containing 6 red marbles, 2 yellow marbles, and 3 green marbles. What are the odds in favor of selecting a red marbles? ___ to ____ (show work) Question 4: This problem involves empirical probability. The table shows the breakdown of 85 thousand single parents on active duty in the U.S military in a certain yea. All numbers are in thousands and rounded to the nearest thousand. Use the data in the table to find the probability that a randomly selected single parent in the U.S military is in the Army MALE FEMALE TOTAL ARMY 22 9 31 NAVY 23 7 30 MARINE 5 1 6 AIR FORCE 13 5 18 TOTAL 63 22 85 The probability that a randomly selected single parent in the US military in the Army is? Show work Question 5: Two cards are drawn without replacement from an ordinary deck, find that probability that the second is not a club, given that the first is a club. What is the conditional probability? Show work Question 6: The given table indicates the transactions for one teller for one day Transaction Make deposit Withdraw Other Total Check 16 25 24 65 No Check 20 15 11 46 Total 36 40 35 111 P(E I F) = ______ (integer or fraction) Question 7: A used-car dealer get complains about this car as shown in the table 0 0.02 1 0.05 NUMBER OF COMPLAINTS PER DAY PROBABILITY 2 3 4 0.15 0.24 0.34 5 0.1 6 0.1 Find the expected number of complain per day is ___ (show work) Question 8: License plate tags is a particular state are to consist of 3 letters followed by 3 digits with repeated letters and digits allowed. How many different license plate tags can there be in this state? Show work Question 9: How many different committees can be formed from 9 teachers and 36 students if the committee consists of 4 teachers and 4 students? In how many ways can the committee of 8 members be selected? Show work Question 11: An election ballot asks voters to select four city commissioners from a group of thirteen candidates. In how many ways can this be done? Show work Question 12: A shipment of 8 computers contain 4 with defects. Find the probability that a sample of size 3, drawn from the 8, will not contain a defective computer? Show work, integer or fraction Question 14: If you are dealt 4 cards from a shuffled deck of 52 cards, find the probability that all 4 cards are picture cards? Show work, round to six decimal pieces as needed) Question 15: A shipment contain 13 igneous, 11 sedimentary, and 11 metamorphic rocks. If 6 rocks are selected at random, find the probability that exactly 4 are sedimentary. Show work, round to four decimal pieces as needed) Question 1: U B A 2 3 4 1 N(A')=28, n(B)=37, n(A' U B')=42, n(A B)=19 Draw a Venn Diagram and use the given information to fill in the number of elements for each region, show works: Region 1 has: ____ elements Region 2 has:_____ elements Region 3 has: ____ elements Question 2: Use the table to find the probabilities that a person's total changes during the period are the following This table shows the probabilities of a person accumulating specific amounts of credit card charges over a 12-month period CHARGES PROBABILITIY Under $100.000 0.33 $100 - $499 0.19 $500 - $999 0.14 $1000 - $1999 0.13 $2000 - $2999 0.06 $3000 - $4999 0.08 $5000 - $5999 0.06 $10 000 or more 0.01 What is the probability that a person's total charges are $2000 or more? Show works What is the probability that a person's total charges are less than $1000? Show works What is the probability that a person's total charges are $500 to $9999? Show works Question 3: A marble is selected at random from a jar containing 6 red marbles, 2 yellow marbles, and 3 green marbles. What are the odds in favor of selecting a red marbles? ___ to ____ (show work) Question 4: This problem involves empirical probability. The table shows the breakdown of 85 thousand single parents on active duty in the U.S military in a certain yea. All numbers are in thousands and rounded to the nearest thousand. Use the data in the table to find the probability that a randomly selected single parent in the U.S military is in the Army MALE FEMALE TOTAL ARMY 22 9 31 NAVY 23 7 30 MARINE 5 1 6 AIR FORCE 13 5 18 TOTAL 63 22 85 The probability that a randomly selected single parent in the US military in the Army is? Show work (integer or decimal rounded to the nearest hundredth as needed) Question 5: Two cards are drawn without replacement from an ordinary deck, find that probability that the second is not a club, given that the first is a club. What is the conditional probability? Show work (integer or fraction) Question 6: The given table indicates the transactions for one teller for one day Transaction Check No Check Total Make deposit 16 20 36 Withdraw 25 15 40 Other 24 11 35 Total 65 46 111 Find the probability that a customer did not make some other transaction, given that the customer cashed a check P(E I F) = ______ (integer or fraction) Question 7: A used-car dealer get complains about this car as shown in the table 0 0.02 1 0.05 NUMBER OF COMPLAINTS PER DAY PROBABILITY 2 3 4 0.15 0.24 0.34 5 0.1 6 0.1 Find the expected number of complain per day is ___ (show work) Question 8: License plate tags is a particular state are to consist of 3 letters followed by 3 digits with repeated letters and digits allowed. How many different license plate tags can there be in this state? Show work Question 9: How many different committees can be formed from 9 teachers and 36 students if the committee consists of 4 teachers and 4 students? In how many ways can the committee of 8 members be selected? Show work Question 11: An election ballot asks voters to select four city commissioners from a group of thirteen candidates. In how many ways can this be done? Show work Question 12: A shipment of 8 computers contain 4 with defects. Find the probability that a sample of size 3, drawn from the 8, will not contain a defective computer? Show work, integer or fraction Question 14: If you are dealt 4 cards from a shuffled deck of 52 cards, find the probability that all 4 cards are picture cards? Show work, round to six decimal pieces as needed) Question 15: A shipment contain 13 igneous, 11 sedimentary, and 11 metamorphic rocks. If 6 rocks are selected at random, find the probability that exactly 4 are sedimentary. Show work, round to four decimal pieces as needed)