Answer:
1 / 2
Step-by-step explanation:
- First observe that the fate of the last person is determined the moment either the first or the last seat is selected! This is because the last person will either get the first seat or the last seat. Any other seat will necessarily be taken by the time the last guy gets to 'choose'.
- Since at each choice step, the first or last is equally probable to be taken, the last person will get either the first or last with equal probability: 1/2
- Armed with the key observation, we see that the event that the last person's correct seat is free, is exactly the same as the event that the first person's seat was taken before the last person's seat.
- Well, each person had to make a random choice, was equally likely to choose the first person's seat or the last person's seat - the random chooser exhibits absolutely no preference towards a particular seat. This means that the probability that one seat is taken before the other must be 1/2
Answer:
$13,400
Step-by-step explanation:
Simple Interest = principal × rate × time
principal= $9000
Rate= 12/100=0•12
Time=5years
Simple interest =PRT
= 9000× 0•12 × 5
= 5400
Total amount to be paid = 9000 + 5400
= $13400
Answer:
The apricots are less expensive per pound.
Step-by-step explanation:
Cost of 1 pound of almonds = 21.98/2
Cost of 2 pounds of almonds = $21.98
So then you have to do 21.98 - 21.98/2. Which equals $10.99
Cost of 1 pound of dried apricots = 26.25/3
Cost of 3 pounds of dried apricots = $26.25
So then you have to do $26.25 - 26.25/3 which = $17.5 then divide that by 2 which equals $8.75.
To find out how much less expensive you have to find the difference, so to do that you have to do $10.99 - $8.75 = $2.24 per pound less expensive.
Answer with explanation:
A x% confidence interval interprets the percentage of certainty that a person can believe that the true population parameter.
It is also represented as Point estimate ± Margin of error
Confidence level is proportional to the Margin of error.
- As confidence level increases the error bound increases that makes the confidence interval broader.
- As confidence level decreases the error bound decreases , making the confidence interval narrower.
