I toss a penny and observe whether it lands heads up or tails up. Suppose the penny is fair, i.e., the probability of heads is 1/2 and the probability of tails is 1/2. This means that

if I flip the coin many, many times the proportion of heads will be approximately 1/2, and this proportion will tend to get closer and closer to 1/2 as the number of tosses increases.

every occurrence of a head must be balanced by a tail in one of the next two or three tosses.

if I flip the coin 10 times, it would be almost impossible to obtain 7 heads and 3 tails

regardless of the number of flips, half will be heads and half tails.

When two coins are tossed, the probability of getting two heads is 0.25. This means that

in the long run two heads will occur on 25% of all tosses.

of every 100 tosses, exactly 25 will have two heads.

the odds against two heads are 4 to 1.

in the long run, the average number of heads is 0.25.

if you get two heads on each of the first five tosses of the coins, you are unlikely to get heads the fourth time.

Chapter 5, AP Statistics

Quiz

•

Mathematics

•

12th Grade

•

Practice Problem

•

Hard

Anthony Clark

FREE Resource

20 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

A

B

C

D

E

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

A

B

C

D

E

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

A

B

C

D

E

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

A

B

C

D

E

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Is this a probability distribution?

No, the sum of p(x) does not equal 1.

Yes, all p(x) are between 0 and 1.

No, all p(x) are not between 0 and 1.

Yes, the sum p(x) is 1.

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

A

B

C

D

E

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Is this a probability distribution?

No

Yes

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