This topic contains a solution. Click here to go to the answer

Author Question: If this experiment is completed without replacement, explain why x is not a binomial random ... (Read 71 times)

azncindy619

  • Hero Member
  • *****
  • Posts: 562
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
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
Both answers were spot on, thank you once again



Expo

  • Sr. Member
  • ****
  • Posts: 351

 

Did you know?

Drug-induced pharmacodynamic effects manifested in older adults include drug-induced renal toxicity, which can be a major factor when these adults are experiencing other kidney problems.

Did you know?

Though methadone is often used to treat dependency on other opioids, the drug itself can be abused. Crushing or snorting methadone can achieve the opiate "rush" desired by addicts. Improper use such as these can lead to a dangerous dependency on methadone. This drug now accounts for nearly one-third of opioid-related deaths.

Did you know?

The ratio of hydrogen atoms to oxygen in water (H2O) is 2:1.

Did you know?

Warfarin was developed as a consequence of the study of a strange bleeding disorder that suddenly occurred in cattle on the northern prairies of the United States in the early 1900s.

Did you know?

Many medications that are used to treat infertility are injected subcutaneously. This is easy to do using the anterior abdomen as the site of injection but avoiding the area directly around the belly button.

For a complete list of videos, visit our video library