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 57 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?

A good example of polar molecules can be understood when trying to make a cake. If water and oil are required, they will not mix together. If you put them into a measuring cup, the oil will rise to the top while the water remains on the bottom.

Did you know?

To combat osteoporosis, changes in lifestyle and diet are recommended. At-risk patients should include 1,200 to 1,500 mg of calcium daily either via dietary means or with supplements.

Did you know?

According to the Migraine Research Foundation, migraines are the third most prevalent illness in the world. Women are most affected (18%), followed by children of both sexes (10%), and men (6%).

Did you know?

Limit intake of red meat and dairy products made with whole milk. Choose skim milk, low-fat or fat-free dairy products. Limit fried food. Use healthy oils when cooking.

Did you know?

Vaccines cause herd immunity. If the majority of people in a community have been vaccinated against a disease, an unvaccinated person is less likely to get the disease since others are less likely to become sick from it and spread the disease.

A Schematic Description of the Experiment by Misanin, Miller, and Lewis (1968) A Schematic Description of the Experiment by Misanin, Miller, and Lewis (1968)
Gas molecules have no bonds to other molecules and move in random motion. Gas molecules have no bonds to other molecules and move in random motion.
Hormone Replacement Therapy (HRT) Hormone Replacement Therapy (HRT)
Limb growth development of Salamander Experiment Limb growth development of Salamander Experiment
The Taylor–Woods–Hughes experiment The Taylor–Woods–Hughes experiment
The Taylor–Woods–Hughes experiment The Taylor–Woods–Hughes experiment
Video: Interspecific Competition Relationship - Competitive & Niche Differentiation

For a complete list of videos, visit our video library