Identify the sample space of the probability experiment and determine the number of outcomes in the sample space. Draw a three diagram
Determine a person’s letter grade (A, B, C, D, F and gender (male (M), Female (F) identify the sample.
1. {A, AF, BM, BF, CM, CF}
2. { AM, AF, BM, CM, CF, DM, DF}
3. {AM, AF, AB, BM, BF, BB, CM, CF, CB}
4. { AM, AF, BM, BF, CM, CF, DM, DF, FM, FF} (This is the one I chose)
(I completed this part)
A=MF
B=MF
C=MF
D=MF
F=MF
There are ( ? ) outcomes in the sample space
A probability experiment consists of rolling a 6 sided die and spinning the spinner shown at the right. The spinner is equally likely to land on each color. Use a tree diagram to find the probability of the given event. Then tell whether the event can be considered unusual.
Event: Rolling a number less than 4 and the spinner landing on blue
The probability of the vent is (? ) (Type an integer or a simplified fraction)
Can the event be considered unusual?
1. Yes, because the probability is close enough to 1
2. No, because the probability is not close to 0
3. No, because the probability is not close enough to 1
4. Yes, because the probability is close enough to 0
The frequency distribution shows the number of voters (in millions) according to age. Consider the event below. Can it be considered unusual? A voter chosen at random is between 35 and 44 years old
Agers of voters------Frequency
18 to 20 10.4
21 to 24 11.2
25 to 34 21.5
35 to 44 5.3
45 to 64 18.1
65 and over 81.1
1. No, The probability of the event is not close to 0
2. Yes, The probability of the event is close to 1
3. No, the probability of the event is not close to 1
4. Yes, The probability of the event is close to 0
Suppose that you just received a shipment of televisions. Three of the televisions are defective. If the two televisions are randomly selected:
Compute the probability that both televisions work is ( ? ) (Type an integer or simplified fraction)
The probability that at least one of the two televisions does not work is ( ? ) (Type an integer or simplified fraction)
Determine the probability that at least 2 people in a room of 9 people share the same birthday ignoring leap years and assuming each birthday is equally likely, by answering the following questions:
1. The probability that 9 people have a different birthday is ( ? ) (Round to four decimal places as needed)
2. The probability that at least 2 people share a birthday is ( ? ) (Round to four decimal places as needed)
Decide if the events are mutually exclusive.
Event A: Randomly selecting someone who smokes cigars
Event B: Randomly selecting a male
Are the two events mutually exclusive?
1. No, because the events cannot occur at the same time.
2. Yes, because the events can occur at the same time
3. Yes, because the events cannot occur at the same time
4. No, because the events can occur at the same time
Decide if the situation involves permutations, combinations, or neither.
The number of ways 16 people can line up in a row for concert tickets.
Does the situation involve permutations, combinations, or neither? Choose the correct answer.
1. Combinations. The order of the 16 people in a line does not matter
2. Neither. A line of people is neither an ordered arrangement of objects, nor a selection of objects from a group of objects
3. Permutations. The order of the 16 people in a line matters.
A warehouse employs 22 workers on first shift and 13 workers on second shift. Eight workers are chosen at random to be interviewed about the work environment. Complete parts (a) through (d).
(Round to four decimal places as needed on all)
A. Find the probability of choosing the first shift ( ? )
B. Find the probability of choosing all second shift (? )
C. Find the probability of choosing six first-shift workers (? )
D. Find the probability of choosing four second shift-shift workers (? )
The numbers show how adults rate their financial shape. Suppose 20 people are chosen at random from a group of 400. What is the probability that none of the 20 people would rate their financial shape as fair? (Make the assumption that the 400 people are represented by the pie chart).
Excellent 4%
Good 42%
Fair 39%
Poor 14%
Other 1%
The probability that none of the 20 people would rate their financial shape as fair is ( ? ) (Round to six decimal places as needed)
(a) List an example of two events that that are independent (Choose one).
1. Not putting money in a parking meter and getting a parking ticket
2. Rolling a dice twice
3. A father having hazel eyes and a daughter having hazel eyes
4. Selecting a queen from a standard deck, not replacing it, and then selecting a queen from the deck.
(b) List an example of two events that re dependent (Choose one).
1. Rolling a dice twice
2. Tossing a coin and getting a head, and then rolling a six-sided die and obtaining a 6
3. Drawing one card from a standard deck, not replacing it, and then selecting another card.
4. Selecting a ball numbered 1 through 12 from a bin, replacing it, and then selecting a second numbered ball from the bin.
Classify the statement as an example of classical probability, empirical probability, or subjective probability.
A financial analyst predicts that the chance of a stock going up over the next month is 0.75. (Choose one)
1. Empirical probability because the probability results from an estimate
2. Subjective probability because the probability results from an estimate (This is the one I chose)?
3. Classical probability because the probability because the observation is obtained from a probability experiment.
4. Classical probability because each outcome in the sample space is equally likely
5. Empirical probability because the probability is based on observations obtained from a probability experiment
6. Subjective probability because each outcome in the sample space is equally likely.