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 isExplanation / 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
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