Worksheets11 ASP
Total questions: 29
Worksheet time: 1hrs 29mins
Name
Class
Date
1.
Given the probabilities P(A) =0.4 and P(A∪B) =0.6, what is the probability P(B): If A and B are mutually exclusive? If A and B are independent?
a)
a) 0.2; 0.4
b)
b) 0.2; 0.33
c)
c) 0.33; 0.2
d)
d) 0.6; 0.33
2.
The probability that a randomly chosen American is a Republican is 0.35. What is the probability that in a sample of 10 Americans, that at least 1 will be a Republican?
a)
a) 0.9865
b)
b) 0.2275
c)
c) 0.0725
d)
d) 0.0135
3.
If P(A) = 0.34 and P(A or B) = 0.71, which of the following is false?
a)
a) P(B) = 0.37, if A and B are disjoint.
b)
b) P(B) = 0.561, if A and B are independent.
c)
c) Cannot be determined if A and B are neither disjoint nor independent.
d)
d) P(A∣B)= 0.34, if A and B are independent.
4.
P(Freshman or Pizza):
a)
27/50
b)
4/50
c)
3/50
d)
30/50
5.
P(Pizza ∩ Water) =
a)
62/182
b)
120/400
c)
58/400
d)
140/400
6.
P(Sandals|Pants):
a)
4/20
b)
6/15
c)
1/2
d)
2/7
7.
The table represents the probability of guessing correct on a 5 question true-false quiz. Find the mean number of questions one gets correct when guessing.
a)
2.5
b)
3
c)
3.5
d)
1.5
8.
The mean temperature in Glens Falls for the month of February is 23 degrees with a standard deviation of 4.2 degrees. Approximately what percent of the days in February would be between 24 and 30 degrees?
a)
35.8%
b)
68.2%
c)
0%
d)
50%
9.
a)
Yes, because all of the probabilities are between 0 and 1 inclusive and the sum of all the probabilities is 1.
b)
No, all probabilities are not be between 0 and 1 inclusive
c)
No, the sum of all the probabilities is not 1.
d)
Yes, because the distribution is symmetric
10.
An assignment of probability must obey which of the following?
a)
The probability of any event must be a number between 0 and 1, inclusive.
b)
The sum of all the probabilities of all outcomes in the sample space must be exactly 1.
c)
The probability of an event is the sum of the outcomes in the sample space which make up the event.
d)
All of these reasons
11.
Students at University X must be in one of the class ranks—freshman, sophomore, junior, or senior. At University X, 35% of the students are freshmen and 30% are sophomores. If a student is selected at random, the probability that her or she is either a junior or a senior is
a)
30%
b)
35%
c)
65%
d)
70%
12.
In a particular game, a fair die is tossed. If the number of spots showing is either four or five, you win $1. If the number of spots showing is six, you win $4. And if the number of spots showing is one, two, or three, you win nothing. You are going to play the game twice.
The probability that you win $4 both times is
The probability that you win $4 both times is
a)
1/6
b)
1/3
c)
1/36
d)
1/12
13.
Suppose that A and B are two independent events with P(A) = .2 and P(B) = .4.
P(A∩BC) is
P(A∩BC) is
a)
.08
b)
.12
c)
.52
d)
.60
14.
A die is loaded so that the number 6 comes up three times as often as any other number. What, then, is the probability of rolling a 6?
a)
.125
b)
.375
c)
.500
d)
.250
15.
P(Sandals|Pants):
a)
4/20
b)
6/15
c)
1/2
d)
2/7
16.
A group of 125 pick up truck owners were asked what brand truck they owned and whether it had four-wheel drive. The results are given in the two-way table.
You randomly select one truck owner. Which one of the following is true about the events "Owner has a Chevy" and "Owner's truck has four-wheel drive"?
You randomly select one truck owner. Which one of the following is true about the events "Owner has a Chevy" and "Owner's truck has four-wheel drive"?
a)
These two events are mutually exclusive and independent.
b)
These two events are mutually exclusive, but not independent.
c)
These two events are not mutually exclusive, but they are independent.
d)
These two events are neither mutually exclusive nor independent.
17.
At a California college, 19% of the students speak Spanish, 7% speak French, and 4% speak both languages. A student is chosen at random from the college. What is the probability that the student speaks Spanish if she speaks French?
a)
0.220
b)
0.211
c)
0.040
d)
0.571
18.
Decide if the following outcome is random:
A friend asks you to quickly name a professional sports team. Is the sports team named random?
A friend asks you to quickly name a professional sports team. Is the sports team named random?
a)
Yes
b)
No
19.
Suppose 30% of cereal boxes contain a picture of LeBron James, 20% a picture of Steph Curry, and 50% a picture of Ben Simmons. Which of the following digit assignments correctly models this situation?
a)
Let 1 = LeBron James; Let 2 = Steph Curry; Let 3 = Ben Simmons
b)
Let 0-3 = LeBron James; Let 4-5 = Steph Curry; Let 6-9 = Ben Simmons
c)
Let 1-3 = LeBron James; Let 4-5 = Steph Curry; Let 6-9 = Ben Simmons
d)
Let 0-2 = LeBron James; Let 3-4 = Steph Curry; Let 5-9 = Ben Simmons
20.
A small store keeps track of the number X of customers that make a purchase during the first hour that the store is open each day. Based on the records, X has the following probability distribution.
The standard deviation of the number of customers that make a purchase during the first hour that the store is open is
The standard deviation of the number of customers that make a purchase during the first hour that the store is open is
a)
0.2
b)
1.4
c)
2.0
d)
3.0
21.
Use your turn signals!
If 20% of drivers do not use turn signals, given an SRS of 4 drivers, what's the probability that at least one does not use turn signals?
If 20% of drivers do not use turn signals, given an SRS of 4 drivers, what's the probability that at least one does not use turn signals?
a)
1 - (.2)4
b)
1 - (.8)4
c)
4(.2)(.8)3
d)
4(.2)3(.8)
22.
The number of runs scored by the Kansas City Royals in the last game of the World Series.
a)
Discrete
b)
Continuous
23.
A company states that 2% of its computers are returned for defects. We take a sample of 100 computers to find the probability of 10 being defective. Is this a binomial distribution?
a)
No because there is not a fixed number of trials.
b)
No because their are more than 2 outcomes.
c)
Yes since there are a fixed number of independent trials, outcomes in 2 categories, and the probability of defect is constant.
d)
No since computers would not be independent.
24.
The table represents the probability of guessing correct on a 5 question true-false quiz. Find the probability for at least 4 questions correct.
a)
.03125
b)
.15625
c)
.3125
d)
.1875
25.
a)
A
b)
B
c)
C
d)
D
e)
E
26.
a)
A
b)
B
c)
C
d)
D
e)
E
27.
a)
A
b)
B
c)
C
d)
D
e)
E
28.
a)
A
b)
B
c)
C
d)
D
e)
E
29.
a)
A
b)
B
c)
C
d)
D
e)
E
100 %
