MATH-221 Week 2 Homework: Statistics for Decision-Making (v1)/ 100% Guaranteed TOP SCORE

MATH-221 Week 2 Homework: Statistics for Decision-Making Question 1 2 / 2 pts (CO 2) A random selection from a deck of cards selects one card. What is the probability of selecting a spade? 0.077 0.050 ...

MATH-221 Week 2 Homework: Statistics for Decision-Making Question 1 2 / 2 pts (CO 2) A random selection from a deck of cards selects one card. What is the probability of selecting a spade? 0.077 0.050 Correct! 0.250 0.025 See text page 134 Question 2 2 / 2 pts (CO 2) What is the sample space of flipping three coins, where H=heads, and T=tails? (H,H,T)(H,T,T)(T,H,H)(T,T,H)(T,T,T)(T,H,T)(H,T,H) Correct! (H,H,H)(H,H,T)(H,T,T)(T,H,H)(T,T,H)(T,T,T)(T,H,T)(H,T,H) (H,H,H)(T,T,T) (H,H,H)(H,H,H)(H,H,H)(H,H,H)(T,T,T)(T,T,T)(T,T,T)(T,T,T) See text page 130 Question 3 2 / 2 pts (CO 2) Consider the table below Response (number of cats owned) Frequency None 659 One 329 Two 52 Three 13 Four or more 8 What is the probability that the next person asked has only two cats? Correct! 5% 62% 50% 31% See text page 136 Question 4 2 / 2 pts (CO 3) Consider the table below Age Group Frequency 18-29 9831 30-39 7845 40-49 6869 50-59 6323 60-69 5410 70 and over 5279 What is the probability that the next person chosen will be in the 40-49 or 50-59 age groups? 42.5% Correct! 31.7% 35.4% 23.7% See text page 136 Question 5 2 / 2 pts (CO 2) Based on the CEO’s perception, a company estimates that a new product will be purchased by 32% of current customers. This is an example of which type of probability? Empirical probability Public probability Classical probability Correct! Subjective probability See text page 134-137 Question 6 0 / 2 pts (CO 2) Consider the table below. Age Group Frequency 18-29 9831 30-39 7845 40-49 6869 50-59 6323 60-69 5410 70 and over 5279 What is the complement of P(40-59), or P(40-59’)? 64.6% You Answered 31.7% 71.8% Correct Answer 68.3% See text page 138 Question 7 0 / 2 pts (CO 2) You are selling your product at a three-day event. Each day, there is a 60% chance that you will make money. What is the probability that you will make money on the first day and lose money on the next two days? Correct Answer 0.096 You Answered 0.144 0.216 0.288 Multiplication rule. See text page 139 Question 8 0 / 2 pts (CO 2) Consider the table below. Profit Loss Total Urban location 50 38 88 Rural location 61 84 125 Total 111 132 243 Find the probability that a randomly selected location is in a rural location, given that it is profitable. 51.4% You Answered 48.8% Correct Answer 55.0% 45.7% Conditional probability. See text page 147 Question 9 2 / 2 pts (CO 3) Consider the table below. Production location Correct Defective Total East 258 31 289 West 572 106 678 North 755 94 849 South 491 74 565 Total 2076 305 2381 Find the probability that a randomly selected product is from the North, given that it is correct. 12.1% 88.9% 87.2 % Correct! 36.4% Question 10 2 / 2 pts (CO 2) Classify these events. Selecting a king from a deck of cards, replacing it and selecting another king from the same deck. These events would be considered: Correct! Independent Subjective Empirical Dependent See text page 148 Question 11 2 / 2 pts (CO 3) Classify these events. Some businesses have large stores and some businesses have large parking lots. These events would be considered: Independent Correct! Dependent Subjective Classical See text page 148 Question 12 2 / 2 pts (CO 2) In a survey of 331 customers, 66 say that service is poor. You select two customers without replacement to get more information on their satisfaction. What is the probability that both say service is poor? Correct! 3.93% 3.88% 4.00% 19.70% Multiplication rule. See text pages 149-151 Question 13 2 / 2 pts (CO 2) Randomly select a customer that lives in a retirement home. Randomly select a customer that is a teenager. Are these events mutually exclusive? Non-mutually exclusive events Correct! Mutually exclusive events See text page 157 Question 14 2 / 2 pts (CO 2) Two cards are selected without replacement from a standard deck of 52 cards. Find the probability of selecting a jack and then selecting a queen. 0.0769 0.0044 Correct! 0.0060 0.0059 See text pages 150-151 Question 15 2 / 2 pts (CO 2) Two cards are selected with replacement from a standard deck of 52 cards. Find the probability of selecting a jack and then selecting a queen. 0.0769 0.0060 Correct! 0.0059 0.00440 See text pages 150-151 Question 16 0 / 2 pts (CO 2) The probability of a golden retriever catching a tennis ball in mid-air is 78%. Find the probability that a golden retriever catches three tennis balls in mid-air. 0.7878 Correct Answer 0.4746 0.6084 You Answered 0.4565 See text pages 150-151 Question 17 2 / 2 pts (CO 2) A statistics class has 50 students and among those students, 35 are business majors and 8 like grilled cheese. Of the business majors, 3 like grilled cheese. Find the probability that a randomly selected statistics student is a business major or likes grilled cheese. 0.84 Correct! 0.80 0.96 0.94 See text pages 158-159 Question 18 0 / 2 pts (CO 2) The probability of a stock making money in the next year is 55%. What is the probability of the complement of that event? 0.40 Correct Answer 0.45 You Answered 0.55 cannot be determined See text page 138