1.0 points if p(a) = 0.25 and p(b) = 0.65, then p(a and b) is:

Question 1 of 20
1.0 Points
If P(A) = 0.25 and P(B) = 0.65, then P(A and B) is:
A.0.25
B.0.90
C.Cannot be determined from the information given
D.0.40 Reset Selection

Question 2 of 20
1.0 Points
What type of probability uses sample spaces to determine the numerical probability that an event will occur?
A.empirical probability
B.classical probability
C.subjective probability
D.conditional probability Reset Selection

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Question 3 of 20
1.0 Points
If A and B are any two events with P(A) = .8 and P(B|A) = .4, then the joint probability of A and B is
A.0.40
B.0.80
C.1.20
D.0.32 Reset Selection

Question 4 of 20
1.0 Points
In a genetics experiment 5 flowers out of 8 were bicolor, and the rest were solid color. If 3 of the flowers are selected at random without replacement, what is the probability that all 3 are bicolor?
A.0.2441
B.0.375
C.0.625
D.0.1786 Reset Selection

Question 5 of 20
1.0 Points
If A and B are mutually exclusive events with P(A) = 0.30 and P(B) = 0.40, then the probability that either A or B or both occur is:
A.0.30
B.0.70
C.0.12
D.0.10 Reset Selection

Part 2 of 6 –

Question 6 of 20
1.0 Points
The binomial probability distribution is used with
A.a discrete random variable
B.either a discrete or a continuous random variable, depending on the sample size
C.a continuous random variable
D.either a discrete or a continuous random variable, depending on the variance Reset Selection

Question 7 of 20
1.0 Points
In one town 33% of the households have a vehicle with all-wheel drive. If 4 households are selected at random, what is the probability that all 4 have vehicles with all-wheel drive?
A.0.4662
B.0.0119
C.0.0825
D.0.33 Reset Selection

Question 8 of 20
1.0 Points
A researcher surveyed college students to study their opinion about the proposed change in smoking rules. The researcher asked a group of 30 students: 12 of them supported the change, 13 of them did not, and 5 had no opinion. This is not a binomial model because…
A….the students who strongly supported the change and those who only mildly supported the change are counted the same.
B….there are 3 possible outcomes, not 2.
C.30 students are not enough for a good sample
D….less than half of the students supported the change. Reset Selection

Question 9 of 20
1.0 Points
If a student randomly guesses at 20 multiple-choice questions, find the probability that the student gets exactly four correct. Each question has four possible choices.
A.0.19
B.0.17
C.0.08
D.0.23 Reset Selection

Question 10 of 20
1.0 Points
We assume that the outcomes of successive trials in a binomial experiment are:
A.probabilistically dependent
B.probabilistically independent
C.random numbers between 0 and 1
D.identical from trial to trial Reset Selection

Part 3 of 6 –

Question 11 of 20
1.0 Points
Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), “E” or “e” (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.
Complex numbers should be in the form (a + bi) where “a” and “b” need to have explicitly stated values.
For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.

If 1.5% of the bolts made by an automotive factory are defective, what is the probability that in a shipment of 200 bolts, there are 6 defective bolts? Place your answer, rounded to four decimal places, in the blank.

Question 12 of 20
1.0 Points
Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), “E” or “e” (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.
Complex numbers should be in the form (a + bi) where “a” and “b” need to have explicitly stated values.
For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.

If a gambler rolls two dice and gets a sum of four, he wins $10; and if he gets a sum of three, he wins $25. The cost to play the game is $5. What is the expectation of this game?

Place your answer, rounded to two decimal places, in the blank. When entering your answer do not use a dollar sign. However, if the expected payoff is negative be sure to use a minus sign. For example, -1.23 would be a legitimate entry.

Question 13 of 20
1.0 Points
Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), “E” or “e” (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.
Complex numbers should be in the form (a + bi) where “a” and “b” need to have explicitly stated values.
For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.

In February 2002 the Argentine peso lost 70% of its value compared to the United States dollar. This devaluation drastically raised the price of imported products. According to a survey conducted by AC Nielsen in April 2002, 68% of the consumers in Argentina were buying fewer products than before the devaluation, 24% were buying the same number of products, and 8% were buying more products. Furthermore, in a trend toward purchasing less-expensive brands, 88% indicated that they had changed the brands they purchased. Suppose the following complete set of results were reported. Use the following data to answer this question.

Number of Products Purchased

Brands Purchased
Fewer
Same
More
Total
Same
10
14
24
48
Changed
262
82
8
352
Total
272
96
32
400

Given that a consumer changed brands, what then is the probability that the consumer purchased fewer products than before? Place your answer, rounded to 4 decimal places, in the blank.

Question 14 of 20
1.0 Points
Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), “E” or “e” (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.
Complex numbers should be in the form (a + bi) where “a” and “b” need to have explicitly stated values.
For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.

In February 2002 the Argentine peso lost 70% of its value compared to the United States dollar. This devaluation drastically raised the price of imported products. According to a survey conducted by AC Nielsen in April 2002, 68% of the consumers in Argentina were buying fewer products than before the devaluation, 24% were buying the same number of products, and 8% were buying more products. Furthermore, in a trend toward purchasing less-expensive brands, 88% indicated that they had changed the brands they purchased. Suppose the following complete set of results were reported. Use the following data to answer this question.

Number of Products Purchased

Brands Purchased
Fewer
Same
More
Total
Same
10
14
24
48
Changed
262
82
8
352
Total
272
96
32
400

What is the probability that a consumer selected at random purchased fewer products than before and changed brands? Place your answer, rounded to 4 decimal places, in the blank.

Part 4 of 6 –

Question 15 of 20
1.0 Points
Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), “E” or “e” (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.
Complex numbers should be in the form (a + bi) where “a” and “b” need to have explicitly stated values.
For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.

An ice cream vendor sells three flavors: chocolate, strawberry, and vanilla. Forty five percent of the sales are chocolate, while 30% are strawberry, with the rest vanilla flavored. Sales are by the cone or the cup. The percentages of cones sales for chocolate, strawberry, and vanilla, are 75%, 60%, and 40%, respectively. For a randomly selected sale, define the following events:

f$A_{1}f$ = chocolate chosen
f$A_{2}f$ = strawberry chosen
f$A_{3}f$ = vanilla chosen
f$Bf$ = ice cream on a cone
f$ar{B}=f$ ice cream in a cup

Find the probability that the ice cream was sold in a cup and was chocolate flavor. Place your answer, rounded to 4 decimal places, in the blank. For exampe, 0.3456 would be a legitimate entry.

Question 16 of 20
1.0 Points
Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), “E” or “e” (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.
Complex numbers should be in the form (a + bi) where “a” and “b” need to have explicitly stated values.
For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.

If a coin is tossed seven times, how many different outcomes are possible? Place your answer in the blank. Do not use any decimal places or commas. For example, 345 would be a legitimate entry.

Question 17 of 20
1.0 Points
Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), “E” or “e” (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.
Complex numbers should be in the form (a + bi) where “a” and “b” need to have explicitly stated values.
For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.

An ice cream vendor sells three flavors: chocolate, strawberry, and vanilla. Forty five percent of the sales are chocolate, while 30% are strawberry, with the rest vanilla flavored. Sales are by the cone or the cup. The percentages of cones sales for chocolate, strawberry, and vanilla, are 75%, 60%, and 40%, respectively. For a randomly selected sale, define the following events:

f$A_{1}f$ = chocolate chosen
f$A_{2}f$ = strawberry chosen
f$A_{3}f$ = vanilla chosen
f$Bf$ = ice cream on a cone
f$ar{B}=f$ ice cream in a cup

Find the probability that the ice cream was chocolate flavor, given that it was sold on a cone. Place your answer, rounded to 4 decimal places, in the blank. For exampe, 0.3456 would be a legitimate entry.

Question 18 of 20
1.0 Points
Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), “E” or “e” (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.
Complex numbers should be in the form (a + bi) where “a” and “b” need to have explicitly stated values.
For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.

A restaurant menu has a price-fixed complete dinner that consists of an appetizer, entrée, beverage, and dessert. You have a choice of five appetizers, ten entrees, three beverages, and six desserts. How many possible complete dinners are possible? Place your answer, as a whole number—no decimal places—in the blank. For example 176 would be a legitimate entry

Part 5 of 6 –

Question 19 of 20
1.0 Points
If A and B are independent events with P(A) = 0.40 and P(B) = 0.50, then P(A|B) is 0.50.
True
False
Reset Selection

Part 6 of 6 –

Question 20 of 20
1.0 Points
A binomial experiment has exactly two outcomes, so the probability of any binomial experiment is always 0.5 or 50%.
True
False
Reset Selection