Exam 1

1. Metainformation

   Tag	Value
   file	Distributions_uva-binomial-733-en_uva-binomial-733-en
   name	uva-binomial-733-en
   section	Distributions/Discrete/Binomial
   type	schoice
   solution	FALSE, FALSE, FALSE, TRUE, FALSE
   Type	Conceptual
   Language	English
   Level	Statistical Literacy
   IRT-Difficulty	2.06
   p-value	0.5472

   Question

   Vase I contains nine red balls and one white ball. Vase II contains six red and four white balls. We repeat 20 times in a row the following experiment:

   1. First, throw a pure die. 2. If the number of eyes is divisible by three, randomly choose a ball from vase I. Otherwise, randomly pick a ball from vase II.

   After each repetition, the selected ball is returned to the vase from which it was taken. from which it was taken.Ê  Which of the following statements is correct?

   
   
   1. FALSE: The number of red balls chosen is binomially distributed with n=20 and p=0.90.
   2. FALSE: The number of red balls chosen is binomially distributed with n=20 and p=0.60.
   3. FALSE: The number of red balls chosen is binomially distributed with n=20 and p=0.75.
   4. TRUE: The number of red balls chosen is binomially distributed with n=20 and p=0.70.
   5. FALSE: The probability distribution of the number of red balls chosen is not a binomial distribution at all.
   
   
   1. The number of red balls chosen is binomially distributed with n=20 and p=0.90…: Incorrect
   2. The number of red balls chosen is binomially distributed with n=20 and p=0.60…: Incorrect
   3. The number of red balls chosen is binomially distributed with n=20 and p=0.75: Incorrect
   4. The number of red balls chosen is binomially distributed with n=20 and p=0.70: Correct
   5. The probability distribution of the number of red balls chosen is not a binomial distribution at all…: Incorrect