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

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