Thank you for looking at these please if you have a moment post a few answers as

Question

Thank you for looking at these please if you have a moment post a few answers as soon as you can and I appreciate your help!

Question 1

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

Question 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?
   5%
   62%
   31%
   50%

Question 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 30-39 or 40-49 age groups?
   18.9%
   23.7%
   35.4%
   31.7%

Question 4

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?
   Public probability
   Subjective probability
   Classical probability
   Empirical probability

Question 5

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 P(40-59’)?
   71.8%
   31.7%
   68.3%
   64.6%

Explanation / Answer

Q 1)

The total possible outcomes are 23 = 8

The sample space of flipping three coins is

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

Q 2)

The probability that the next person asked has only one cat is

= (329/1061)*100 = 31%

Answer: 31%

Q 3)

The probability that the next person chosen will be in the 30-39 or 40-49 age groups

= [(7845+6869)/41557]*100 =35.4%

Answer: 35.4%

Q4) Answer:  Subjective probability because it is based on personal perceptions

Q 5) For this questions notations are not clear, therefore solved for both cases

P(40-59) = [(6869+6323)/41557]*100 = 31.7%

P(40-59)' = 100 - 31.7% = 68.3%

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