Is each of the following scenarios a binomial setting? If not, explain why.

a) Honda motorcycles pulls one motorcycle off the assembly line each hour to conduct a thorough quality control inspection. One variable recorded is the total number of visual defects to the finish (scratches, imperfections, etc.).
b) Mr. Rye buys one Lotto ticket each week. X is the number of times he wins a cash prize in a year.
c) Leslie is doing a science fair project on batteries. She is going to measure X: how many brand new batteries must be purchased and tested before a defective one is found.
d) 40 stude

Question

Is each of the following scenarios a binomial setting? If not, explain why.

a) Honda motorcycles pulls one motorcycle off the assembly line each hour to conduct a thorough quality control inspection. One variable recorded is the total number of visual defects to the finish (scratches, imperfections, etc.).
b) Mr. Rye buys one Lotto ticket each week. X is the number of times he wins a cash prize in a year.
c) Leslie is doing a science fair project on batteries. She is going to measure X: how many brand new batteries must be purchased and tested before a defective one is found.
d) 40 stude

mollylasko · Answer

ake an A.P. Statistics class online and subsequently take the A.P. exam in May. Let X be the number of students who pass (score a 3, 4, or 5) the exam.

agent0smith · Answer

The binomial distribution describes the behavior of a count variable X if the following conditions apply: 1: The number of observations n is fixed. 2: Each observation is independent. 3: Each observation represents one of two outcomes ("success" or "failure"). 4: The probability of "success" p is the same for each outcome. http://www.stat.yale.edu/Courses/1997-98/101/binom.htm