Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

GE122 Final Examination, (Past Exam) Which ofthe following is a characteristic o

ID: 3310584 • Letter: G

Question

GE122 Final Examination, (Past Exam) Which ofthe following is a characteristic of a binomial experiment? (1) There are n identical trials, and all trials are independent. (2) Each trial has two possible outcomes which are traditionally labeled "failure" and "success", 1. and the probability of success p is the same on each trial. (3) We are interested in x, the number of successes observed during the n trials (4) All of the above are characteristics of a binomial experiment. Problem A Suppose that a student needs to buy 6 books for her history course. The number of books that she will be able to find used is a binoma random variable x with h=6 and p = 0.30. In other words, 30 and is indenendent from one book to ed is

Explanation / Answer

Yes , the correct answer is D

In a binomial experiment

we conduct oe repeat the experiment for n trials , such as


tossing a fair coin 50 times , we then observes the outcome
n becomes 50
and say we are intersted in number of times head appears , say head appears 20 times

so x becomes 20

and p = 0.5 , as both head and tail have an equal likelihood of occurence

there can be only 2 outcomes
success or failure
and then the probbaility of success is same on each trial

example tossing of a fair coin , where there can be only 2 outcomes - head or tail and each outcome has a probability of 1/2


Hence Choice 4