There are three main characteristics of a geometric experiment.
There are one or more Bernoulli trials with all failures except the last one, which is a success. In other words, you keep repeating what you are doing until the first success. Then you stop. For example, you throw a dart at a bullseye until you hit the bullseye. The first time you hit the bullseye is a "success" so you stop throwing the dart. It might take six tries until you hit the bullseye. You can think of the trials as failure, failure, failure, failure, failure, success, STOP.
In theory, the number of trials could go on forever. There must be at least one trial.
The probability,
p , of a success and the probability,
q , of a failure is the same for each trial.
p +
q = 1 and
q = 1 −
p . For example, the probability of rolling a three when you throw one fair die is
. This is true no matter how many times you roll the die. Suppose you want to know the probability of getting the first three on the fifth roll. On rolls one through four, you do not get a face with a three. The probability for each of the rolls is
q =
, the probability of a failure. The probability of getting a three on the fifth roll is
= 0.0804
X = the number of independent trials until the first success.
You play a game of chance that you can either win or lose (there are no other possibilities)
until you lose. Your probability of losing is
p = 0.57. What is the
probability that it takes five games until you lose? Let
X = the number of games you play until you lose (includes the losing game). Then
X takes on the values 1, 2, 3, ... (could go on indefinitely). The probability question is
P (
x = 5).
You throw darts at a board until you hit the center area. Your probability of hitting the center area is
p = 0.17. You want to find the probability that it takes eight throws until you hit the center. What values does
X take on?
A safety engineer feels that 35% of all industrial accidents in her plant are caused by failure of employees to follow instructions. She decides to look at the accident reports (selected randomly and replaced in the pile after reading)
until she finds one that shows an accident caused by failure of employees to follow instructions. On average, how many reports would the safety engineer
expect to look at until she finds a report showing an accident caused by employee failure to follow instructions? What is the probability that the safety engineer will have to examine at least three reports until she finds a report showing an accident caused by employee failure to follow instructions?
Let
X = the number of accidents the safety engineer must examine
until she finds a report showing an accident caused by employee failure to follow instructions.
X takes on the values 1, 2, 3, .... The first question asks you to find the
expected value or the mean. The second question asks you to find
P (
x ≥ 3). ("At least" translates to a "greater than or equal to" symbol).
An instructor feels that 15% of students get below a C on their final exam. She decides to look at final exams (selected randomly and replaced in the pile after reading) until she finds one that shows a grade below a C. We want to know the probability that the instructor will have to examine at least ten exams until she finds one with a grade below a C. What is the probability question stated mathematically?
is it possible to leave every good at the same level
Joseph
I don't think so. because check it, if the demand for chicken increases, people will no longer consume fish like they used to causing a fall in the demand for fish
Anuolu
is not really possible to let the value of a goods to be same at the same time.....
Salome
Suppose the inflation rate is 6%, does it mean that all the goods you purchase will cost
6% more than previous year? Provide with reasoning.
Not necessarily. To measure the inflation rate economists normally use an averaged price index of a basket of certain goods. So if you purchase goods included in the basket, you will notice that you pay 6% more, otherwise not necessarily.
Good day
How do I calculate this question: C= 100+5yd G= 2000 T= 2000 I(planned)=200.
Suppose the actual output is 3000. What is the level of planned expenditures at this level of output?
I am Camara from Guinea west Africa... happy to meet you guys here
Sekou
ma management ho
Amisha
ahile becheclor ho
Amisha
hjr ktm bta ho
ani k kaam grnu hunxa tw
Amisha
belatari
Amisha
1st year ho
Amisha
nd u
Amisha
ahh
Amisha
kaha biratnagar
Amisha
ys
Amisha
kina k vo
Amisha
money as unit of account means what?
Kalombe
A unit of account is something that can be used to value goods and services and make calculations
Jim
all of you please speak in English I can't understand you're language
Muhammad
I want to know how can we define macroeconomics in one line
Muhammad
it must be .9 or 0.9
no Mpc is greater than 1
Y=100+.9Y+50
Y-.9Y=150
0.1Y/0.1=150/0.1
Y=1500
Kalombe
Mercy is it clear?😋
Kalombe
hi can someone help me on this question
If a negative shocks shifts the IS curve to the left, what type of policy do you suggest so as to stabilize the level of output?
discuss your answer using appropriate graph.