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

Author Question: Test to determine whether or not P(x) is a binomial probability ... (Read 54 times)

evelyn o bentley

  • Hero Member
  • *****
  • Posts: 564
Test to determine whether or not P(x) is a binomial probability function.

Question 2

If this experiment is completed with replacement, explain why x is a binomial random variable.



Related Topics

Need homework help now?

Ask unlimited questions for free

Ask a Question
Marked as best answer by a Subject Expert

FergA

  • Sr. Member
  • ****
  • Posts: 352
Answer to Question 1

By inspecting the function P(x) we see it satisfies the following binomial properties: n = 4, p = 0.5, q = 0.5 (p + q = 1), the two exponents x and 4-x add up to n = 4, and x can take on any integer value from zero to n = 4; therefore P(x) is a binomial probability function.

Answer to Question 2

x is a binomial random variable because the trials are independent. n = 4, the number of trials; two outcomes, success = ace and failure = not ace; p = P(ace) = 4/52 and q = P(not ace) = 48/52; x = n (aces drawn in 4 trials) and could be any number 0, 1, 2, 3 or 4 . Further, the probability of success (get an ace) remains 4/52 for each trial throughout the experiment, as long as the card drawn on each trial is replaced before the next trial occurs.




evelyn o bentley

  • Member
  • Posts: 564
Reply 2 on: Jul 24, 2018
Gracias!


robbielu01

  • Member
  • Posts: 336
Reply 3 on: Yesterday
Thanks for the timely response, appreciate it

 

Did you know?

The use of salicylates dates back 2,500 years to Hippocrates's recommendation of willow bark (from which a salicylate is derived) as an aid to the pains of childbirth. However, overdosage of salicylates can harm body fluids, electrolytes, the CNS, the GI tract, the ears, the lungs, the blood, the liver, and the kidneys and cause coma or death.

Did you know?

The largest baby ever born weighed more than 23 pounds but died just 11 hours after his birth in 1879. The largest surviving baby was born in October 2009 in Sumatra, Indonesia, and weighed an astounding 19.2 pounds at birth.

Did you know?

Most childhood vaccines are 90–99% effective in preventing disease. Side effects are rarely serious.

Did you know?

Between 1999 and 2012, American adults with high total cholesterol decreased from 18.3% to 12.9%

Did you know?

The B-complex vitamins and vitamin C are not stored in the body and must be replaced each day.

For a complete list of videos, visit our video library