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Worksheets2/18 Chapter 5 test (AP Statistics)
Total questions: 15
Worksheet time: 42mins
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
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
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.
regardless of the number of flips, half will be heads and half tails.
all of the above.
When two coins are tossed, the probability of getting two heads is 0.25. This means that
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.
in the long run two heads will occur on 25% of all tosses.
if you get two heads on each of the first five tosses of the coins, you are unlikely to get heads the fourth time.
You want to use simulation to estimate the probability of getting exactly one head and one tail in two tosses of a fair coin. You assign the digits 0, 1, 2, 3, 4 to heads and 5, 6, 7, 8, 9 to tails. Using the following random digits to execute as many simulations as possible, what is your estimate of the probability?
19226 95034 05756 07118
1/20
1/10
5/10
6/10
2/3
The collection of all possible outcomes of a random phenomenon is called
a census.
the probability.
a chance experiment
the sample space
the distribution.
An assignment of probabilities must obey which of the following?
The probability of any event must be a number between 0 and 1, inclusive.
The sum of all the probabilities of all outcomes in the sample space must be exactly 1.
The probability of an event is the sum of the probabilities of outcomes in the sample space in which the event occurs.
All three of the above.
A and B only.
Event A has probability 0.4. Event B has probability 0.5. If A and B are independent, then the probability that both events occur is
0.0.
0.1.
0.2.
0.7.
0.9.
Event A has probability 0.4. Event B has probability 0.5. If A and B are independent, then the probability that both events occur isIf you draw an M&M candy at random from a bag of the candies, the candy you draw will have one of six colors. The probability of drawing each color depends on the proportion of each color among all candies made. The table below gives the probability that a randomly chosen M&M had each color before blue M & M’s replaced tan in 1995.
0.2.
0.3.
0.7.
0.8.
impossible to determine from the information given.
what is the probability that you draw either a brown or a green candy?
0.1.
0.3.
0.4.
0.6.
0.7.
A
B
C
D
E
Suppose we roll two six-sided dice--one red and one green. Let A be the event that the number of spots showing on the red die is three or less and B be the event that the number of spots showing on the green die is three or more.
The events A and B are
disjoint.
conditional.
independent.
reciprocals.
complementary.
A
B
C
D
E
Please see the accompanying table.
Please see the accompanying table.
Please see the accompanying table.
Please see the accompanying table.
