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 65 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?

There used to be a metric calendar, as well as metric clocks. The metric calendar, or "French Republican Calendar" divided the year into 12 months, but each month was divided into three 10-day weeks. Each day had 10 decimal hours. Each hour had 100 decimal minutes. Due to lack of popularity, the metric clocks and calendars were ended in 1795, three years after they had been first marketed.

Did you know?

Asthma cases in Americans are about 75% higher today than they were in 1980.

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?

One way to reduce acid reflux is to lose two or three pounds. Most people lose weight in the belly area first when they increase exercise, meaning that heartburn can be reduced quickly by this method.

Did you know?

Less than one of every three adults with high LDL cholesterol has the condition under control. Only 48.1% with the condition are being treated for it.

For a complete list of videos, visit our video library