1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Dmitriy789 [7]
3 years ago
5

Here you will be required to write a report about a random experiment. This can be anything ranging from testing viruses and etc

. (100 points)
Biology
1 answer:
arlik [135]3 years ago
4 0

Answer:

Before rolling a die you do not know the result. This is an example of a random experiment. In particular, a random experiment is a process by which we observe something uncertain. After the experiment, the result of the random experiment is known. An outcome is a result of a random experiment. The set of all possible outcomes is called the sample space. Thus in the context of a random experiment, the sample space is our universal set. Here are some examples of random experiments and their sample spaces:

Random experiment: toss a coin; sample space: S={heads,tails} or as we usually write it, {H,T}.

Random experiment: roll a die; sample space: S={1,2,3,4,5,6}.

Random experiment: observe the number of iPhones sold by an Apple store in Boston in 2015; sample space: S={0,1,2,3,⋯}.

Random experiment: observe the number of goals in a soccer match; sample space: S={0,1,2,3,⋯}.

When we repeat a random experiment several times, we call each one of them a trial. Thus, a trial is a particular performance of a random experiment. In the example of tossing a coin, each trial will result in either heads or tails. Note that the sample space is defined based on how you define your random experiment. For example,

Example  

We toss a coin three times and observe the sequence of heads/tails. The sample space here may be defined as

S={(H,H,H),(H,H,T),(H,T,H),(T,H,H),(H,T,T),(T,H,T),(T,T,H),(T,T,T)}.

Our goal is to assign probability to certain events. For example, suppose that we would like to know the probability that the outcome of rolling a fair die is an even number. In this case, our event is the set E={2,4,6}. If the result of our random experiment belongs to the set E, we say that the event E has occurred. Thus an event is a collection of possible outcomes. In other words, an event is a subset of the sample space to which we assign a probability. Although we have not yet discussed how to find the probability of an event, you might be able to guess that the probability of {2,4,6} is 50 percent which is the same as 12 in the probability theory convention.

Outcome: A result of a random experiment.

Sample Space: The set of all possible outcomes.

Event: A subset of the sample space.

Union and Intersection: If A and B are events, then A∪B and A∩B are also events. By remembering the definition of union and intersection, we observe that A∪B occurs if A or B occur. Similarly, A∩B occurs if both A and B occur. Similarly, if A1,A2,⋯,An are events, then the event A1∪A2∪A3⋯∪An occurs if at least one of A1,A2,⋯,An occurs. The event A1∩A2∩A3⋯∩An occurs if all of A1,A2,⋯,An occur. It can be helpful to remember that the key words "or" and "at least" correspond to unions and the key words "and" and "all of" correspond to intersections.

You might be interested in
Sort the terms and phrases as to whether they function in or describe primary growth or secondary growth? place each term or phr
Vanyuwa [196]
PRIMARY GROWTH
1) apical meristem
3) elongation
5) increases exposure to light
9) occurs in plants that live only one year

SECONDARY GROWTH
2) cork cambium
4) provides structural support
6) increases vascular flow
<span>7) growth in thickness
</span>10) lateral meristem
11) vascular cambium

BOTH
8) occurs in plants that live many years.

NEITHER

3 0
3 years ago
How does the reproductive system maintain homeostasis?
vlada-n [284]
The reproductive system<span> helps </span>maintain homeostasis<span> in the female body by regulating the vagina Ph. The </span>reproductive system maintains homeostasis<span> in the male by regulating the overall temperature of the testis</span>
6 0
3 years ago
What is the species of an animal always written in?
lina2011 [118]
It's written in italics.
8 0
2 years ago
Read 2 more answers
Describe what would occur if you turned a growing seedling on its side (without disturbing the root system.) What is occurring i
Pie
Try looking this up through quizlet! i found one called “plant responses “ that may help you
5 0
2 years ago
These jars show the set-up from Francesco Redi's experiment with meat and maggots. After a few days of sitting out, the covered
padilas [110]
C. the flies could not get into the jar to lay their eggs
6 0
3 years ago
Other questions:
  • What happens when your diaphragm relaxes and moves upward?
    14·1 answer
  • A medical researcher measured the diastolic wall thicknesses of the arteries in a young, healthy test subject. The test subject
    15·1 answer
  • SSSSSSOMEEEEEONEE HELP AAAASAAAAAAAAP Based on the population graphs of Moeland and Larryville, which statement is MOST accurate
    9·1 answer
  • In ce consta importanta subciclului fiziologic al pasarilor migratoare
    9·2 answers
  • One of the best strategies for controlling infectious disease is:
    10·1 answer
  • (a) It is possible to measure a patient’s heart rate by either palpating their peripheral pulse, by observing their ECG, or by l
    8·1 answer
  • What abiotic components would most likely change in a shallow ocean ecosystem during upwelling?
    11·1 answer
  • Which of the following is a good reason for why tobacco smoke is considered a carcinogen?
    11·2 answers
  • A part of the auditory pathway responsible for auditory reflexes is the
    12·1 answer
  • Which does not occur during translation? tRNA pairs with complementary mRNA. A peptide bond is created between amino acids. DNA
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!