Devry MATH221 Week 2 Quiz Latest 2021 June

MATH221 Statistics for Decision Making

Week 2 Quiz

Question 1(CO 2) A random number generator is used to select a number from 1 to 100. What is the probability of selecting an odd number?

  0.077

  0.500

  0.050

  0.250

 Question 2(CO 2) What is the sample space of flipping three coins, where H=heads, and T=tails?

  (H,H,H)(H,H,H)(H,H,H)(H,H,H)(T,T,T)(T,T,T)(T,T,T)(T,T,T)

  (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,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)

 Question 3(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 one cat?

  50%

  31%

  5%

  62%

 Question 4(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 probability that the next person chosen will be in the 18-29 or 30-39 age groups?

  42.5%

  37.8%

  23.7%

  18.9%

 Question 5(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

  Subjective probability

  Public probability

  Classical probability

 Question 6(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(30-49), or P(30-49’)?

  76.3%

  64.6%

  18.9%

  35.4%

 Question 7(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 two days and lose money on the third day?

  0.216

  0.144

  0.288

  0.096

Multiplication rule

Question 8(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 going to be profitable, given that it is in an urban location.

  56.8%

  36.2%

  51.4%

  48.8%

Conditional probability

Question 9(CO 2) 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 defective, given that it is from the South production facility.

  12.8%

  13.1%

  10.7%

  23.7%

Conditional probability

Question 10(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:

 Independent

  Subjective

  Empirical

  Dependent

 Question 11(CO 2) Classify these events. Some businesses paint the outside of their buildings red while some businesses offer employees health benefits. These events would be considered:

  Dependent

  Subjective

  Classical

  Independent

 Question 12(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?

  3.88%

  19.70%

  3.93%

  4.00%

Multiplication rule

Question 13(CO 2) Randomly select a customer that purchases tofu. Randomly select a customer that purchases chicken. Are these events mutually exclusive?

  Mutually exclusive events

  Non-mutually exclusive events

 Question 14(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.

  0.0060

  0.0044

  0.0769

  0.0059

 Question 15(CO 2) Two cards are selected with replacement from a standard deck of 52 cards.  Find the probability of selecting a heart and then selecting a diamond.

  0.0250

  0.0625

  0.0637

  0.0588

 Question 16(CO 2) The probability of a golden retriever catching a tennis ball in mid-air is 81%.  Find the probability that a golden retriever catches three tennis balls in mid-air.

  0.4052

  0.5119

  0.6561

  0.5314

 Question 17(CO 2) A statistics class has 50 students and among those students, 42 are business majors and 8 like grilled cheese.  Of the business majors, 7 like grilled cheese.  Find the probability that a randomly selected statistics student is a business major or likes grilled cheese.

  0.84

  0.98

  0.86

  0.94

 Question 18(CO 2) An event is successful 1 out of every 5 attempts.  What is the probability of the complement of that event?

Correct!

  0.80

  0.20

  0.15

  cannot be determined