AnswersAlgebra IIIntroduction to Probability

Introduction to Probability — Quiz Answers

10 verified answers
1
Free Preview

Which conclusion can be drawn from this graph?

A
About half of the time, the traffic light is red when Carlos leaves his neighborhood.
B
About 63 percent of the time, the traffic light is red when Carlos leaves his neighborhood.
C
The probability that the traffic light is red when Carlos leaves his neighborhood cannot be determined from this graph because there is no pattern in a long series of traffic lights.
D
If the true probability that the traffic light is red when Carlos leaves his neighborhood is 0 point 6 3 , there would be no variation in the graph.
2
Free Preview

Which conclusion can be drawn from this graph?

A
The graph shows that the probability of producing a faulty soccer ball is about 0 point 0 6 ; therefore, we should not believe the company’s claim that only 3 percent of the produced soccer balls are faulty.
B
The company’s claim seems to be true because the graph shows that when 50 soccer balls were tested, only about 3 percent of them were faulty.
C
Because the graph shows that the probability of producing a faulty soccer ball is 0 point 0 3 , we can believe the company’s claim that only 3 percent of the produced soccer balls are faulty
D
We should not believe the company’s claim that only 3 percent of their soccer balls are faulty because this graph shows a continuous increase in probability.
3

A teacher claims that there is a 50 percent chance that she will collect homework for a grade on any given day. One week, she collected all five daily homework assignments. A student in this class is upset and explains that the teacher should not collect any homework assignments the following week in order to honor her 50 percent probability claim. Is the student’s reasoning correct?

A
Yes, the teacher should not collect homework assignments next week to bring the probability of homework being collected back to 0 point 5 .
B
Yes, it is unlikely that the teacher would randomly collect homework assignments five days in a row, so not having a homework collection next week is due to happen.
C
No, if the teacher collects homework five days in a row, it is not possible for the probability of homework being collected to be 0 point 5 .
D
No, collecting homework and not collecting homework are equally likely in the long run, so whether or not the teacher collects homework on any single day cannot be determined.
4

Forty percent of the beads in a bag of more than 10 comma 000 beads are yellow. Suzy pulls out 10 beads, one at a time with replacement, and notes that eight of these beads are yellow. She says the next bead pulled out will not be yellow because a yellow bead has been pulled out too many times in a row. Is Suzy’s reasoning correct?

A
Yes, it is unlikely that she would pull out so many yellow beads, so the next bead cannot be yellow.
B
No, it is true that the probability of pulling a yellow bead is 0 point 4 0 , but Suzy should not expect that exactly 40 percent of such a small number of beads pulled will be yellow.
C
Yes, Suzy has correctly decided that more than 40 percent of the beads in this large bag are yellow.
D
No, if a yellow bead is pulled 8 out of 10 times, the bag of beads is unfairly weighted toward yellow.
5

Dropping a piece of buttered toast will theoretically land butter-side down with a probability of 0 point 6 5 Some students decided to test this theory and dropped five pieces of buttered toast. All five landed butter-side down. One of the students claims that the next piece of buttered toast dropped will land butter-side up because it is due to happen. Is the student’s reasoning correct?

A
No, if buttered toast lands butter-side down five times in a row, the probability must be higher than 0 point 6 5 .
B
No, the probability of buttered toast landing butter-side down is 0 point 6 5 over a large number of trials.
C
Yes, it is unlikely that five pieces of dropped buttered toast will land butter-side down, so butter up must be due.
D
Yes, the students need to start dropping buttered toast to land butter up to get back to 0 point 6 5 .
6

Anna says there is a 0 point 1 5 probability that at least one of her shoes comes untied during her morning jogs. Which is the correct interpretation of this probability?

A
When Anna jogs tomorrow morning, 15 percent of her shoes will come untied.
B
If you take a very large sample of Anna’s morning jogs, at least one shoe will come untied about 15 percent of the time.
C
Fifteen percent of all joggers will experience a shoe that comes untied when they jog.
D
If Anna jogs 100 mornings, then at least one shoe will come untied exactly 15 times.
7

Shamir loves watching professional basketball. His favorite player, Freddy Rocket, successfully completes 85 percent of his free throws. During one game, Rocket misses his first four free throws. Shamir says that the next free throw has to be a success since Rocket rarely misses so many in a row. Is Shamir’s reasoning correct?

A
Yes, Rocket missed the first four free throws, so the fifth one is due to be a success.
B
No, it is very unlikely for Rocket to miss so many free throws in a row, so Shamir should expect the player to continue missing baskets.
C
No, the probability of Rocket making a free throw is 0 point 8 5 over the long run.
D
Yes, Rocket has a high probability of making free throws, so the next one must go in the basket.
8

Using the line of random numbers, what is the best estimate of the proportion of responses in a sample who own either a cat or a dog?

A
0 point 4 7
B
0 point 5 0
C
0 point 5 3
D
0 point 6 3
9

Using the line of random numbers, what is the best estimate of the number of free food prizes won by the next 20 patrons who spin the wheel?

A
15
B
5
C
12
D
10
10

Which is the correct sequence of outcomes?

A
HHHHH NNHHH HHHNH HNHNH
B
NNNNN HHNNN NNNHN NHNHN
C
NHNHN HNHNH NHNHN HNHNH
D
HHHHH NNNNN NNNNN NNNNN

Did you find these answers helpful?

More from this Course

Quiz
30 verified answers

Quiz

Quiz
30 verified answers

Quiz

Quiz
37 verified answers

Quiz

Introduction to Probability — Quiz Answers…