Answer:
(10) Person B
(11) Person B
(12)
(13) Person B
Step-by-step explanation:
Given
Person A 5 coins (records the outcome of Heads)
Person Rolls 2 dice (recorded the larger number)
Person A
First, we list out the sample space of roll of 5 coins (It is too long, so I added it as an attachment)
Next, we list out all number of heads in each roll (sorted)
Person B
First, we list out the sample space of toss of 2 coins (It is too long, so I added it as an attachment)
Next, we list out the highest in each toss (sorted)
Question 10: Who is likely to get number 5
From person A list of outcomes, the proportion of 5 is:
From person B list of outcomes, the proportion of 5 is:
<em>From the above calculations: </em><em> Hence, person B is more likely to get 5</em>
Question 11: Person with Higher median
For person A
This means that the median is the mean of the 16th and the 17th item
So,
For person B
This means that the median is the mean of the 15th and the 16th item. So,
<em>Person B has a greater median of 5</em>
Question 12: Probability that B gets 5 or 6
This is calculated as:
From the sample space of person B, we have:
So, we have:
Question 13: Person with higher probability of 3 or more
Person A
So:
Person B
So:
By comparison:
Hence, person B has a higher probability of 3 or more