STAT 1001: SOPHIA UNIT 3
MILESTONE III Q & A
1
A survey asked 1,000 people which magazine they preferred, given three
choices. The table below breaks the votes down by magazine and age
group.
Age Below 40 Age 40 an
A
The National Journal 104 20
Newsday 120 23
The Month 240 10
If a survey is selected at random, what is the probability that the
person voted for "Newsday" and is also age 40 or older? Answer
choices are rounded to the hundredths place.
•
0.66
•
0.54
•
0.23
•
0.34
2
A basketball player makes 60% of his free throws. We set him on the free
throw line and asked him to shoot free throws until he misses. Let the
random variable X be the number of free throws taken by the player until he
misses.
Assuming that his shots are independent, find the probability that
he will miss the shot on his 6th throw.
•
0.04666
•
0.03110
, 0.04666
•
0.03110
•
0.00614
STAT 1001: SOPHIA UNIT 3
MILESTONE III Q & A
•
0.01866
3
Sarah throws a fair die multiple times, recording the total number of "2"s
she throws and then calculating the proportion of "2"s she has thrown so
far after each throw. She then constructs a graph to visualize her results.
Which of the following statements is FALSE?
•
The probability distribution for the possible number of outcomes changes as
the total number of throws increases.
•
The theoretical probability of getting a 2 is 0.167 for each throw.
•
This is an example of the law of large numbers.
•
The relative frequency of "2"s thrown changes as Sarah throws the die more.
4
Using this Venn diagram, what is the probability that event A or
event B occurs?
•
0.60
•
0.22
•
0.42
•
0.78
, 5
STAT 1001: SOPHIA UNIT 3
MILESTONE III Q & A
Satara was having fun playing poker. She needed the next two cards dealt
to be hearts so she could make a flush (five cards of the same suit). There
are 10 cards left in the deck, and three are hearts.
What is the probability that the two cards dealt to Satara (without
replacement) will both be hearts? Answer choices are in percentage
format, rounded to the nearest whole number.
•
7%
•
60%
•
30%
•
26%
6
Which of the following is a condition of binomial probability
distributions?
•
All observations made are dependent on each other.
•
All observations are mutually exclusive.
•
All observations made are independent of each other.
•
All observations are made randomly.
MILESTONE III Q & A
1
A survey asked 1,000 people which magazine they preferred, given three
choices. The table below breaks the votes down by magazine and age
group.
Age Below 40 Age 40 an
A
The National Journal 104 20
Newsday 120 23
The Month 240 10
If a survey is selected at random, what is the probability that the
person voted for "Newsday" and is also age 40 or older? Answer
choices are rounded to the hundredths place.
•
0.66
•
0.54
•
0.23
•
0.34
2
A basketball player makes 60% of his free throws. We set him on the free
throw line and asked him to shoot free throws until he misses. Let the
random variable X be the number of free throws taken by the player until he
misses.
Assuming that his shots are independent, find the probability that
he will miss the shot on his 6th throw.
•
0.04666
•
0.03110
, 0.04666
•
0.03110
•
0.00614
STAT 1001: SOPHIA UNIT 3
MILESTONE III Q & A
•
0.01866
3
Sarah throws a fair die multiple times, recording the total number of "2"s
she throws and then calculating the proportion of "2"s she has thrown so
far after each throw. She then constructs a graph to visualize her results.
Which of the following statements is FALSE?
•
The probability distribution for the possible number of outcomes changes as
the total number of throws increases.
•
The theoretical probability of getting a 2 is 0.167 for each throw.
•
This is an example of the law of large numbers.
•
The relative frequency of "2"s thrown changes as Sarah throws the die more.
4
Using this Venn diagram, what is the probability that event A or
event B occurs?
•
0.60
•
0.22
•
0.42
•
0.78
, 5
STAT 1001: SOPHIA UNIT 3
MILESTONE III Q & A
Satara was having fun playing poker. She needed the next two cards dealt
to be hearts so she could make a flush (five cards of the same suit). There
are 10 cards left in the deck, and three are hearts.
What is the probability that the two cards dealt to Satara (without
replacement) will both be hearts? Answer choices are in percentage
format, rounded to the nearest whole number.
•
7%
•
60%
•
30%
•
26%
6
Which of the following is a condition of binomial probability
distributions?
•
All observations made are dependent on each other.
•
All observations are mutually exclusive.
•
All observations made are independent of each other.
•
All observations are made randomly.
