This topic contains a solution. Click here to go to the answer
« previous next »

Author Question: If this experiment is completed without replacement, explain why x is not a binomial random ... (Read 52 times)

azncindy619

  • Hero Member
  • *****
  • Posts: 562
on: Jul 24, 2018
If this experiment is completed without replacement, explain why x is not a binomial random variable.

Question 2

A carton containing 75 towels is inspected. Each towel is rated first quality or irregular. After all 100 towels are inspected, the number of irregulars is reported as a random variable. Explain why x is a binomial variable


Related Topics

Need homework help now?

Ask unlimited questions for free

Ask a Question
Marked as best answer by a Subject Expert

Expo

  • Sr. Member
  • ****
  • Posts: 351
Reply #1 on: Jul 24, 2018
Answer to Question 1

x is not a binomial random variable because the trials are not independent. The
probability of success (get an ace) changes from trial to trial. On the first trial it is 4/52.
The probability of an ace on the second trial depends on the outcome of the first trial; it is
4/51 if an ace is not selected, and it is 3/51 if an ace was selected. The probability of an
ace on any given trial continues to change when the experiment is completed without
replacement.

Answer to Question 2

x is a binomial variable since it satisfies the following properties:
n = 75 repeated identical independent trials (towels), there are only two outcome (first
quality, irregular), p =P(success) = P(irregular), x = number of irregular towels that may
take on any integer value from 0 to 75.


azncindy619

  • Hero Member
  • *****
  • Posts: 562
Reply #2 on: Jul 24, 2018
Both answers were spot on, thank you once again


Expo

  • Sr. Member
  • ****
  • Posts: 351
Reply #3 on: Jul 24, 2018
Great! Please up vote :D


« previous next »
 

Did you know?

If you use artificial sweeteners, such as cyclamates, your eyes may be more sensitive to light. Other factors that will make your eyes more sensitive to light include use of antibiotics, oral contraceptives, hypertension medications, diuretics, and antidiabetic medications.

Did you know?

Adult head lice are gray, about ? inch long, and often have a tiny dot on their backs. A female can lay between 50 and 150 eggs within the several weeks that she is alive. They feed on human blood.

Did you know?

As the western states of America were settled, pioneers often had to drink rancid water from ponds and other sources. This often resulted in chronic diarrhea, causing many cases of dehydration and death that could have been avoided if clean water had been available.

Did you know?

Amphetamine poisoning can cause intravascular coagulation, circulatory collapse, rhabdomyolysis, ischemic colitis, acute psychosis, hyperthermia, respiratory distress syndrome, and pericarditis.

Did you know?

Never take aspirin without food because it is likely to irritate your stomach. Never give aspirin to children under age 12. Overdoses of aspirin have the potential to cause deafness.

Rutherford's gold foil experiment demonstrating that most of the volume of an atom is empty spa Rutherford's gold foil experiment demonstrating that most of the volume of an atom is empty spa
The experiment performed by Jacob, Monod, and Pardee to study a lacI constitutive mutant The experiment performed by Jacob, Monod, and Pardee to study a lacI constitutive mutant
Faces in experiment Faces in experiment
Pavlov’s Salivary Conditioning Experiment (1 of 2) Pavlov’s Salivary Conditioning Experiment (1 of 2)
Ramey's study, children from poverty-level families IQ experiment Ramey's study, children from poverty-level families IQ experiment
The Meselson–Stahl experiment The Meselson–Stahl experiment
Video: Interview with Person having Obsessive Compulsive Disorder

For a complete list of videos, visit our video library